Characterization of a Neotropical Calothrix sp. strain with biotechnological potential [ Data Analysis ]

Camila A. Marín Marín

2024-08-08

Loading Packages

We will start by loading some useful packages. Using the library function, we can load these packages if they have previously been installed in your R. If they have not been previously installed, replace the library function with install.packages function and place the package name in quotation marks. That will install the package. Next, run the library function again and it will load the package. You only need to install a package once.

library(readxl) # Necessary for read_excel function. 
library(ggplot2) # Necessary for `ggplot` function.
library(kableExtra) # Necessary for `kbl` function.
library(png) # Necessary to export as png. 
library(report) # Necessary for 'sessionInfo' function.
library(reshape2)
library(dplyr)
library(Rmisc)
library(effects) # Necessary for 'allEffects' function. 

library(conover.test) # Necessary for conover tests

Dataframe Setup

Loading Dataframes

We will set the working directory using the setwd function. If you are looking to run this code in your computer, be sure to change the path to your data! Normally we can load data frames using the read.csv function. Or, we can use the read_excel function from the readxl package and specify the sheet number!

setwd("~/Desktop/R") # Set the working directory
Antibiotics <- read_excel("Data/Antibióticos.xlsx") 
Candida <- droplevels(subset(Antibiotics, Antibiotics$bacteria == "candida"))
Antibiotics <- droplevels(subset(Antibiotics, Antibiotics$bacteria != "candida"))
Calothrix <- read.csv("Data/CalothrixMIC.csv") 
Calbi <- read.csv("Data/Calbicans.csv") 
PreBio <- read_excel("Data/DatosPrebiotica.xlsx", sheet = 1)
CaloGrowth <- read_excel("Data/CreciNostoc.xlsx", sheet = 1)

Variable Formatting

Prior to conducting any analyses, we want to make sure that our variables have the correct class. Often non-numerical variables imported into R are treated as character variables. We can convert them into factors using the as.factor function.

Antibiotics$bacteria <- as.factor(Antibiotics$bacteria)
Antibiotics$antibiotico <- as.factor(Antibiotics$antibiotico)
Antibiotics$tiempo <- as.factor(Antibiotics$tiempo)

Candida$bacteria <- as.factor(Candida$bacteria)
Candida$antibiotico <- as.factor(Candida$antibiotico)
Candida$tiempo <- as.factor(Candida$tiempo)

PreBio$tratamiento <- as.factor(PreBio$tratamiento)
PreBio$bacteria <- as.factor(PreBio$bacteria)

Calothrix$bacteria <- as.factor(Calothrix$bacteria)
Calothrix$tratamiento <- as.factor(Calothrix$tratamiento)
Calothrix$tiempo <- as.factor(Calothrix$tiempo)

#Calbi$tiempo <- as.factor(Calbi$tiempo)
Calbi$tratamiento <- as.factor(Calbi$tratamiento)
PreBio$tratamiento <- as.factor(PreBio$tratamiento)
PreBio$bacteria <- as.factor(PreBio$bacteria)

CaloGrowth <- CaloGrowth %>%
  dplyr::mutate(across(c("ID", "muestra", "medio", "luz", "dia", "nitrogeno", "glucosa"), as.factor))

CaloGrowth$Fecha <- as.Date(CaloGrowth$Fecha)

For the PreBio dataframe, we need to remove a few outliers. The following should be removed: F4Antibiotics1/8fos and, among the rh group, all the ones with IDs starting with A, B, C, D, and G.

PreBio2 <- PreBio %>%
  filter(ID != 'F4calothrix1/8fos') %>%
  filter(!ID_B %in% c('rhA', 'rhB', 'rhC', 'rhD', 'rhG'))

Actually, lets remove the rh altogether.

PreBio3 <- droplevels(subset(PreBio2, PreBio2$bacteria != "rh"))

For the dataframe CaloGrowth, the variable día is not standardized. We will create a new variable day that standardizes the levels.

CaloGrowth$Day <- CaloGrowth$dia

levels(CaloGrowth$Day) <- list(
  "24" = "26", 
  "16" = "18",
  "20" = "21",
  "24" = "25",
  "16" = "15",
  "16" = "17",
  "8" = "7", 
  "4" = "5",
  "8" = "10",
  "12" = "14",
  "8" = "9",
  "12" = "13",
  "12" = "11",
  "0" = "0",
  "4" = "4",
  "8" = "8",
  "12" = "12",
  "16" = "16",
  "20" = "20",
  "24" = "24")

table(CaloGrowth$Day, CaloGrowth$dia)
##     
##       0  4  5  7  8  9 10 11 12 13 14 15 16 17 18 20 21 24 25 26
##   24  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  6 21  9
##   16  0  0  0  0  0  0  0  0  0  0  0  6  9 18  3  0  0  0  0  0
##   20  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  9 27  0  0  0
##   8   0  0  0 12 15  3  6  0  0  0  0  0  0  0  0  0  0  0  0  0
##   4   0 30  6  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
##   12  0  0  0  0  0  0  0  6 21  3  6  0  0  0  0  0  0  0  0  0
##   0  36  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

To express the biomass weight (peso_biomasa) in grams per liter, we multiply it by 10.

CaloGrowth$peso_biomasa <- CaloGrowth$peso_biomasa*10

Illustration

Bacteria Trial

To prepare the Antibiotics dataframe for graphing, first we need to ammend the species names. We can do this by use of the list function to pair the old and new names, and the levels function to directly access the unique levels in bacteria. We do the same process for the names of antibiotics in the column antibiotico.

levels(Antibiotics$bacteria) <- list("E. coli"  = "ecoli", 
                                   "Klebsiella sp." = "klebsiella",
                                   "Salmonella sp."  = "salmonella", 
                                   "S. aureus" = "saureus")

levels(Antibiotics$antibiotico) <- list("Azitromicina"  = "azitromicina", 
                                      "Nitrofurantoina" = "nitrofurantoina",
                                      "Norfloxacina"  = "norfloxacina")

Antibiotic Plot

Now, we have three different kinds of antibiotics and two concentrations. To graph all possible combinations, we will use the paste function to combine the data in bacteria and concentracion into one that we will call bacteria_conc. Next we calculate the mean and standard error value for abs by tiempo, antibiotico, and bacteria_conc and save it as an object called tgc. Selecting the tiempo column in tgc, we combine the as.character wrapped within as.numeric to ascertain that tiempo is properly coded as a numerical variable.

Antibiotics$bacteria_conc <- paste(Antibiotics$bacteria, Antibiotics$concentracion)

tgc <- summarySE(Antibiotics, measurevar="abs", groupvars=c("tiempo", "antibiotico", "bacteria_conc"), na.rm = TRUE)

tgc$tiempo <- as.numeric(as.character(tgc$tiempo))

We are now readt to plot. This graph uses geom_point and geom_line to create ggplot elements of points and connecting lines respectively. With geom_errorbar we add error bars around abs by adding and subtracting the standard error (se). Using facet_wrap, we create separate graphs for every level of bacteria_conc. We save the graph as Antibiotic_GG and export it using the png function.

Antibiotic_GG <- ggplot(tgc, aes(x = tiempo, y = abs, color = antibiotico, group = antibiotico)) +
  geom_point() +
  geom_line() +
  geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
  facet_wrap(~bacteria_conc, ncol = 2) +
  labs(x = "Time (h)", y = "Optical Density (620 nm)") +
  scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) + 
  scale_color_brewer(palette = "Dark2")+
  theme_bw(base_size = 14) +
  theme(legend.position = "bottom",
        legend.background = element_rect(color = "black"),
        strip.text = element_text(face = "italic"),
        legend.margin = margin(5, 5, 5, 5),
        legend.title = element_text(face = "bold", hjust = 0.5)) +
  guides(color = guide_legend(
    title = "Antibiotic", title.position = "top", title.hjust = 0.5, nrow = 1, ncol = 3))

Antibiotic_GG

png("~/Desktop/CES/Master's Thesis/Antibiotic vs Bacteria.png", width = 150, height = 200, units = 'mm', res = 300)
Antibiotic_GG
dev.off()
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##                 2

Interpretation: Only two antibiotics appear to work properly. However, further testing revealed that the antibiotic activity of Norfloxacina was related to its preparation. As such, we will only use Azitromicina.


Calothrix Performance

Moving on to evaluating the antibiotic capacity of Calothrix sp, first we subset the Antibiotics dataframe to only include the data for Azitromicina at a concentration of 50. Next we use the list and levels functions again to rename the antibiotic. Next we use bracket notation to exclude columns we are not interested in. Next we use colnames to rename the new set of columns. Lastly, we reorder the columns so that we can match them with a different dataframe’s columns later on.

Antibiotics2 <- subset(Antibiotics, antibiotico == "Azitromicina" & concentracion == 50)
levels(Antibiotics2$antibiotico) <- list("Azithromycin 50 mg/L"  = "Azitromicina")
Antibiotics2 <- Antibiotics2[,-c(3,6)]
colnames(Antibiotics2) <- c("tiempo", "tratamiento", "abs", "bacteria")
Antibiotics2 <- Antibiotics2[, c("tiempo", "tratamiento", "bacteria", "abs")]

In this block we first subset out the antibiotico from this Calothrix2 dataframe, as this antbiotic did not perform as expected. We then rename the levels in the columns bacteria and tratamiento.

Calothrix2 <- droplevels(subset(Calothrix, Calothrix$tratamiento != "antibiotico"))
levels(Calothrix2$bacteria) <- list("E. coli"  = "ecoli", "Klebsiella sp." = "klebsiella",
                             "Salmonella sp."  = "salmonella", "S. aureus" = "saureus")

levels(Calothrix2$tratamiento) <- list("Antibiotic"  = "antibiotico", "Growth Control" = "crecimiento",
                             "Calothrix [1]"  = "calothrix1",  
                             "Calothrix [1/2]" = "calothrix1/2", "Calothrix [1/4]" = "calothrix1/4", 
                             "Calothrix [1/8]" = "calothrix1/8", "Calothrix [1/16]" = "calothrix1/16")

We are now ready to combine our dataframes! We can do this easily using the rbind function.

Calothrix3 <- rbind(Calothrix2, Antibiotics2)

Now with the proper dataframe, Calothrix2, we use the summarySE function to calculate descriptive statistics and save them as tgc. Selecting the tiempo column in tgc, we combine the as.character wrapped within as.numeric to ascertain that tiempo is properly coded as a numerical variable. Next we create a color map. A color map is a way to assign colors to certain strings, prior to creating a graph. This can be useful when many graphs share levels, or simply to keep things ordered.

With that done, we are ready to graph using ggplot, once again incorporating the elements of geom_point, geom_line, geom_errobar, and facet_wrap. We save the graph as GG1 and export it using the png function.

tgc <- summarySE(Calothrix3, measurevar="abs", groupvars=c("tiempo", "tratamiento", "bacteria"), na.rm = TRUE)
tgc$tiempo <- as.numeric(as.character(tgc$tiempo))

color_map1 <- c("Azithromycin 50 mg/L" = "sienna3", 
                "Growth Control" = "dodgerblue3",
                "Calothrix [1]"  = "darkgreen",  
                "Calothrix [1/2]" = "green4", 
                "Calothrix [1/4]" = "green3", 
                "Calothrix [1/8]" = "yellowgreen", 
                "Calothrix [1/16]" = "greenyellow")

color_map2 <- c("Azithromycin 50 mg/L" = "sienna3", 
                "Growth Control" = "dodgerblue3",
                "Calothrix [1]"  = "darkgreen",  
                "Calothrix [1/2]" = "limegreen", 
                "Calothrix [1/4]" = "yellowgreen", 
                "Calothrix [1/8]" = "yellow3", 
                "Calothrix [1/16]" = "yellow2")


GG1 <- ggplot(tgc, aes(x = tiempo, y = abs, color = tratamiento, group = tratamiento)) +
  geom_point() +
  geom_line() +
  geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
  facet_wrap(~bacteria) +
  labs(x = "Time (h)", y = "Optical Density (620 nm)") +
  scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) + 
  theme_bw(base_size = 13) +
  scale_color_manual(values = color_map2) +
  theme(legend.title.align=0.5) +
  theme(legend.position = "bottom",
        legend.background = element_rect(color = "black"),
        legend.justification = c("top"),
        strip.text = element_text(face = "italic")) +
  guides(color = guide_legend(title = NULL, nrow = 2, ncol = 4))

GG1

png("~/Desktop/CES/Master's Thesis/Figures/Figure 2 (Bacterial Trial).png", width = 175, height = 150, units = 'mm', res = 300)
GG1
dev.off()
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##                 2

Fungi Trial

Antifungal Plot

To start us off, we rename the levels in the column antibiotico of the dataframe Candida.

levels(Candida$antibiotico) <- list("Azitromicina"  = "azitromicina", 
                                    "Nitrofurantoina" = "nitrofurantoina",
                                    "Norfloxacina"  = "norfloxacina")

Next, we calculate summary statistics using the summarySE function and save it as tgc. Selecting the tiempo column in tgc, we combine the as.character wrapped within as.numeric to ascertain that tiempo is properly coded as a numerical variable.

With that done, we are ready to graph using ggplot, once again incorporating the elements of geom_point, geom_line, geom_errobar, and facet_wrap. We save the graph as Antifungal_GG and export it using the png function.

tgc <- summarySE(Candida, measurevar="abs", groupvars=c("tiempo", "antibiotico", "concentracion"), na.rm = TRUE)
tgc$tiempo <- as.numeric(as.character(tgc$tiempo))

Antifungal_GG <- ggplot(tgc, aes(x = tiempo, y = abs, color = antibiotico, group = antibiotico)) +
  geom_point() +
  geom_line() +
  geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
  facet_wrap(~concentracion) +
  labs(x = "Time (h)", y = "Optical Density (620 nm)") +
  scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) + 
  scale_color_brewer(palette = "Dark2")+
  theme_bw(base_size = 13) +
  theme(legend.position = "bottom",
        legend.background = element_rect(color = "black"),
        legend.margin = margin(5, 5, 5, 5),
        legend.title = element_text(face = "bold", hjust = 0.5)) +
  guides(color = guide_legend(
    title = "Antibiotic", title.position = "top", title.hjust = 0.5, nrow = 1, ncol = 3))

Antifungal_GG

png("~/Desktop/CES/Master's Thesis/Antibiotic vs Candida.png", width = 150, height = 100, units = 'mm', res = 300)
Antifungal_GG
dev.off()
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##                 2

Candida performance

To prepare the dataframe Candida, we first use the subset function to isolate the rows where antibiotico is Azitromicina and concentracion is 50, and save the new dataframe as Candida2. Then, using bracket notation, we remove unwanted columns. The function colnames is used next to rename the column names.

We then switch to the dataframe Calbi, which holds the Calothrix treatments. We subset out antibiotico because the antibiotic in this dataframe is not useable here.

Calbi2 <- droplevels(subset(Calbi, Calbi$tratamiento != "antibiotico"))

levels(Calbi2$tratamiento) <- list("Growth Control" = "crecimiento",
                             "Calothrix [1]"  = "calothrix1",  
                             "Calothrix [1/2]" = "calothrix1/2", 
                             "Calothrix [1/4]" = "calothrix1/4", 
                             "Calothrix [1/8]" = "calothrix1/8", 
                             "Calothrix [1/16]" = "calothrix1/16")

tgc <- summarySE(Calbi2, measurevar="abs", groupvars=c("tiempo", "tratamiento"), na.rm = TRUE)
tgc$tiempo <- as.numeric(as.character(tgc$tiempo))

GG2 <- ggplot(tgc, aes(x = tiempo, y = abs, color = tratamiento, group = tratamiento)) +
  geom_point() +
  geom_line() +
  geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
  labs(x = "Time (h)", y = "Optical Density (620 nm)") +
  scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) + 
  scale_color_manual(values = color_map2) +
  theme_bw(base_size = 12) +
  theme(legend.title.align = 0.5,
        legend.position = c(0.147, 0.99),
        legend.margin = margin(1, 3, 1, 1),
        legend.background = element_rect(color = "black", size = 0.1),
        legend.justification = c("top"),
        strip.text = element_text(face = "italic"),
        legend.text = element_text(size = 9)) +  # Adjust the size value as needed
  guides(color = guide_legend(title = NULL, nrow = 6, ncol = 1))
GG2

png("~/Desktop/CES/Master's Thesis/Figures/Figure 3 (Antifungal Trial).png", width = 130, height = 90, units = 'mm', res = 300)
GG2
dev.off()
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##                 2

Prebiotic Activity

To assess prebiotic activity in the dataframe PreBio3 we need to first, rename the levels using the functions, list and levels, and then apply summarySE to calculate summary statistics. A color map is defined here as well. The names of bacteria are also rewritten.

A ggplot graph is created. This graph uses geom_point and geom_line to create ggplot elements of points and connecting lines respectively. With geom_errorbar we add error bars around abs by adding and subtracting the standard error (se). Using facet_wrap, we create separate graphs for every level of bacteria_conc. We save the graph as GG3 and export it using the png function.

levels(PreBio3$tratamiento) <- list("Growth Control" = "crecimiento",
                                   "Calothrix [1]"  = "calothrix1",  
                                   "Calothrix [1/2]" = "calothrix1/2", 
                                   "Calothrix [1/4]" = "calothrix1/4", 
                                   "Calothrix [1/8]" = "calothrix1/8", 
                                   "Calothrix [1/16]" = "calothrix1/16")

tgc <- summarySE(PreBio3, measurevar="abs", groupvars=c("tiempo", "tratamiento", "bacteria"), na.rm = TRUE)

color_map3 <- c("Growth Control" = "dodgerblue3",
                "Calothrix [1]"  = "darkgreen",  
                "Calothrix [1/2]" = "limegreen", 
                "Calothrix [1/4]" = "yellowgreen", 
                "Calothrix [1/8]" = "yellow3", 
                "Calothrix [1/16]" = "yellow2")

levels(tgc$bacteria) <- list("Limosilactobacillus \nreuteri" = "fos",
                                   "Lactiplantibacillus \nplantarum"  = "lp")

GG3 <- ggplot(tgc, aes(x = tiempo, y = abs, color = tratamiento, group = tratamiento)) +
  geom_point() +
  geom_line() +
  geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
  facet_wrap(~bacteria) +
  labs(x = "Time (h)", y = "Optical Density (620 nm)") +
  scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) + 
  theme_bw(base_size = 13) +
  scale_color_manual(values = color_map3) +
  theme(legend.title.align=0.5) +
  theme(legend.position = "bottom",
        legend.background = element_rect(color = "black"),
        legend.justification = c("top"),
        strip.text = element_text(face = "italic")) +
  guides(color = guide_legend(title = NULL, nrow = 2, ncol = 4))

GG3

png("~/Desktop/CES/Master's Thesis/Figures/Figure 4 (Prebiotic Trial).png", width = 135, height = 100, units = 'mm', res = 300)
GG3
dev.off()
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##                 2

Growth x Light

Value Distribution

Let’s take a look at the data distribution of peso_biomasa in the CaloGrowth dataframe. To do this, we will create a histogram and a kernel density estimate, which is basically a smoothed histogram, using the geom_histogram and geom_density arguments from ggplot. We will also use geom_vline to create a vertical line at the mean.

ggplot(CaloGrowth, aes(x=peso_biomasa)) + 
  geom_histogram(aes(y=..density..), colour="black", fill="cornsilk") +
  geom_density(alpha=.2, fill="#FF6666") + # easier to see distribution
  geom_vline(aes(xintercept=mean(peso_biomasa, na.rm=TRUE)),color="cadetblue4", 
             linetype="dashed", size=1) + # This adds a blue line where the mean is. 
  xlab("Peso Biomasa (g)") + 
  ylab("Density") + 
  labs(caption = "La media del peso de biomass es 0.17 g/L. La distribución parece Poisson.") +
  theme_bw(base_size = 15) + 
  theme(plot.caption = element_text(hjust = 0.5)) # Centered caption

Let’s transform the variable Day into numerical using a combination of as.character and as.numeric.

CaloGrowth$Day_N <- as.numeric(as.character(CaloGrowth$Day))

Next, we calculate a summary of the data using the summarySE function from the Rmisc package, specifying that we want to summarize the variable peso_biomasa grouped by the variables medio, Day, and luz. The summarySE function calculates the mean and standard error for each group. Then we reorder the levels of the variable Day in tgc using the relevel function. This is done to set a specific reference level for the variable Day in the graph later on.

Next, we create a graph using ggplot2 (GG1) where we represent the variable peso_biomasa on the y-axis, Day on the x-axis, and use color to represent the variable medio. We add points, lines, and error bars to the graph to visualize the data. We also adjust the axis ranges and customize the theme and appearance of the graph. With the facet_wrap argument, we create a graph for each level of the variable Day. Finally, we save the graph as a PNG file using the png function.

Light Graphs

tgc <- summarySE(CaloGrowth, measurevar="peso_biomasa", groupvars=c("medio", "Day", "luz"), na.rm = TRUE)
levels(tgc$luz) <- list("White Light"  = "Blanca", 
                        "Red Light"  = "Roja", 
                        "No Light" = "Oscuridad")

tgc$Day <- relevel(tgc$Day, ref = "24") 
tgc$Day <- relevel(tgc$Day, ref = "20") 
tgc$Day <- relevel(tgc$Day, ref = "16") 
tgc$Day <- relevel(tgc$Day, ref = "12") 
tgc$Day <- relevel(tgc$Day, ref = "8") 
tgc$Day <- relevel(tgc$Day, ref = "4") 
tgc$Day <- relevel(tgc$Day, ref = "0") 

GG1 <- ggplot(tgc, aes(x = Day, y = peso_biomasa, color = medio, group = medio)) +
  geom_point() +
  geom_line() +
  geom_errorbar(aes(ymin = peso_biomasa - se, ymax = peso_biomasa + se), width = 0.15) +
  ylim(0,0.84) +
  facet_wrap(~luz) +
  xlab("Time (Days)") + 
  ylab(expression(Biomass~(g~L^-1))) +  # Superscript in y-axis label
  theme_bw(base_size = 12) +
  scale_color_manual(values = c("#520120", "#08403E", "#706513", "#B57114")) +
  theme(legend.title.align=0.5) +
  theme(legend.position = "bottom",
        legend.background = element_rect(color = "black"),
        legend.justification = c("top")) +
    guides(color = guide_legend(title = NULL, nrow = 1, ncol = 4))
GG1

png("~/Desktop/CES/Master's Thesis/Figures/Figure 1 (Light Trials).png", width = 180, height = 100, units = 'mm', res = 300)
GG1
dev.off()
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##                 2

Tables

To create the tables for the levels of luz, we will use the subset and droplevels functions, the first subset to remove the other levels of luz, and droplevels to ensure that zeros do not appear for the other levels.

tgc_Blanca <- droplevels(subset(tgc, tgc$luz == "White Light"))
tgc_Roja <- droplevels(subset(tgc, tgc$luz == "Red Light"))
tgc_Oscuridad <- droplevels(subset(tgc, tgc$luz == "No Light"))

White Table

Next, we will remove columns that we are not interested in, round to two decimal places using the round function, convert the Day variable back to numeric, organize the table numerically with the arrange function, modify the column names with colnames, export the table with write.csv, and create the table in a professional style for the HTML report with kbl.

tgc_Blanca <- tgc_Blanca[,c(1,2,5,7)]
tgc_Blanca$peso_biomasa <- round(tgc_Blanca$peso_biomasa,3)
tgc_Blanca$se <- round(tgc_Blanca$se,3)
tgc_Blanca$Day <- as.numeric(as.character(tgc_Blanca$Day))

tgc_Blanca <- tgc_Blanca %>%
  arrange(Day, medio)

colnames(tgc_Blanca) <- c("Medio", "Día", "Peso Biomasa (g/L)", "Error Estándar")

write.csv(tgc_Blanca, "~/Desktop/CES/Master's Thesis/Tabla_LuzBlanca.csv")
kbl(tgc_Blanca, format = "html", 
    table.attr = "style='width:50%;'") %>% 
  kable_classic() %>%
  scroll_box(height = "500px")
Medio Día Peso Biomasa (g/L) Error Estándar
BG11 0 0.024 0.005
BG11-0 0 0.009 0.008
BG11-0+G 0 0.000 0.000
BG11+G 0 0.000 0.000
BG11 4 0.154 0.017
BG11-0 4 0.027 0.009
BG11-0+G 4 0.188 0.011
BG11+G 4 0.060 0.032
BG11 8 0.187 0.008
BG11-0 8 0.023 0.014
BG11-0+G 8 0.299 0.039
BG11+G 8 0.254 0.007
BG11 12 0.211 0.009
BG11-0 12 0.026 0.015
BG11-0+G 12 0.464 0.010
BG11+G 12 0.403 0.099
BG11 16 0.352 0.029
BG11-0 16 0.050 0.011
BG11-0+G 16 0.514 0.068
BG11+G 16 0.728 0.104
BG11 20 0.361 0.034
BG11-0 20 0.091 0.013
BG11-0+G 20 0.349 0.007
BG11+G 20 0.754 0.046
BG11 24 0.562 0.034
BG11-0 24 0.111 0.036
BG11-0+G 24 0.641 0.026
BG11+G 24 0.701 0.005

Red Table

tgc_Roja <- tgc_Roja[,c(1,2,5,7)]
tgc_Roja$peso_biomasa <- round(tgc_Roja$peso_biomasa,3)
tgc_Roja$se <- round(tgc_Roja$se,3)
tgc_Roja$Day <- as.numeric(as.character(tgc_Roja$Day))

tgc_Roja <- tgc_Roja %>%
  dplyr::arrange(Day, medio)

colnames(tgc_Roja) <- c("Medio", "Día", "Peso Biomasa (g/L)", "Error Estándar")

write.csv(tgc_Roja, "~/Desktop/CES/Master's Thesis/Tabla_LuzRoja.csv")
kbl(tgc_Roja, format = "html", 
    table.attr = "style='width:50%;'") %>% 
  kable_classic() %>%
  scroll_box(height = "500px")
Medio Día Peso Biomasa (g/L) Error Estándar
BG11 0 0.000 0.000
BG11-0 0 0.001 0.000
BG11-0+G 0 0.000 0.000
BG11+G 0 0.000 0.000
BG11 4 0.078 0.009
BG11-0 4 0.024 0.002
BG11-0+G 4 0.069 0.001
BG11+G 4 0.065 0.004
BG11 8 0.103 0.005
BG11-0 8 0.071 0.026
BG11-0+G 8 0.092 0.023
BG11+G 8 0.112 0.056
BG11 12 0.101 0.016
BG11-0 12 0.108 0.007
BG11-0+G 12 0.118 0.014
BG11+G 12 0.125 0.002
BG11 16 0.116 0.024
BG11-0 16 0.110 0.003
BG11-0+G 16 0.204 0.026
BG11+G 16 0.181 0.009
BG11 20 0.132 0.018
BG11-0 20 0.085 0.004
BG11-0+G 20 0.228 0.010
BG11+G 20 0.277 0.027
BG11 24 0.120 0.009
BG11-0 24 0.100 0.016
BG11-0+G 24 0.200 0.018
BG11+G 24 0.290 0.016

Darkness Table

tgc_Oscuridad <- tgc_Oscuridad[,c(1,2,5,7)]
tgc_Oscuridad$peso_biomasa <- round(tgc_Oscuridad$peso_biomasa,3)
tgc_Oscuridad$se <- round(tgc_Oscuridad$se,3)
tgc_Oscuridad$Day <- as.numeric(as.character(tgc_Oscuridad$Day))

tgc_Oscuridad <- tgc_Oscuridad %>%
  dplyr::arrange(Day, medio)

colnames(tgc_Oscuridad) <- c("Medio", "Día", "Peso Biomasa (g/L)", "Error Estándar")

write.csv(tgc_Oscuridad, "~/Desktop/CES/Master's Thesis/Tabla_LuzOscuridad.csv")
kbl(tgc_Oscuridad, format = "html", 
    table.attr = "style='width:50%;'") %>% 
  kable_classic() %>%
  scroll_box(height = "500px")
Medio Día Peso Biomasa (g/L) Error Estándar
BG11 0 0.000 0.000
BG11-0 0 0.000 0.000
BG11-0+G 0 0.000 0.000
BG11+G 0 0.000 0.000
BG11 4 0.120 0.001
BG11-0 4 0.174 0.009
BG11-0+G 4 0.049 0.014
BG11+G 4 0.033 0.014
BG11 8 0.214 0.004
BG11-0 8 0.187 0.009
BG11-0+G 8 0.245 0.016
BG11+G 8 0.149 0.002
BG11 12 0.213 0.011
BG11-0 12 0.145 0.022
BG11-0+G 12 0.132 0.006
BG11+G 12 0.139 0.009
BG11 16 0.219 0.029
BG11-0 16 0.082 0.021
BG11-0+G 16 0.133 0.031
BG11+G 16 0.278 0.043
BG11 20 0.111 0.007
BG11-0 20 0.086 0.003
BG11-0+G 20 0.123 0.014
BG11+G 20 0.194 0.006
BG11 24 0.105 0.006
BG11-0 24 0.017 0.003
BG11-0+G 24 0.309 0.015
BG11+G 24 0.180 0.023

Analysis

The following graph is a distribution density graph useful for evaluating the behavior of data. This may hint to use whether we should analyze the data using parametric or non-parametric statistics.

x_mean <- round(mean(Calothrix3$abs, na.rm = TRUE), 2)
ggplot(Calothrix3, aes(x=abs)) + 
  geom_histogram(aes(y=..density..), colour="black", fill="cornsilk") +
  geom_density(alpha=.2, fill="#FF6666") + # easier to see distribution
  geom_vline(aes(xintercept=mean(abs, na.rm=TRUE)),color="cadetblue4", 
             linetype="dashed", size=1) + # This adds a blue line where the mean is. 
  xlab("Absorbancia (620 nm)") + 
  ylab("Density") + 
  labs(caption = paste0("Absorbancia media es ", x_mean)) + 
  theme_bw(base_size = 15) + 
  theme(plot.caption = element_text(hjust = 0.5)) 

Interpretation: The density distribution graph is bimodal and right-skewed. This means that even transformation are unlikely to fix the behavior of residuals. Considering this distribution and the wealth of data, we will opt for a more conservative approach using non-parametric statistics.


To prepare for the statistical analysis, first we create subsets for every level of bacteria in Calothrix3.

Calo_coli <- droplevels(subset(Calothrix3, Calothrix3$bacteria == "E. coli"))
Calo_kleb <- droplevels(subset(Calothrix3, Calothrix3$bacteria == "Klebsiella sp."))
Calo_salm <- droplevels(subset(Calothrix3, Calothrix3$bacteria == "Salmonella sp."))
Calo_saur <- droplevels(subset(Calothrix3, Calothrix3$bacteria == "S. aureus"))

E. coli Inhibition

Now, what we will use is the Conover Post-Hoc Test, available using the conover.test package. However, we will also use a for loop to perform the conover test for each level of tiempo. We will store the result in a list for easier viewing. We will start off using the E. coli dataset, saved in the Calo_coli dataframe.

tiempo_levels <- unique(Calo_coli$tiempo)
# Initialize a list to store the test results
conover_results <- list()

# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
  # Subset data for the current level of tiempo
  data_subset <- Calo_coli[Calo_coli$tiempo == level, ]
  
  # Print the current level of tiempo
  cat("Conover test for tiempo:", level, "\n")
  
  # Perform Conover test
  conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
  
  # Store the result in the list
  conover_results[[as.character(level)]] <- conover_result
}
## Conover test for tiempo: 0 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 21.9202, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -3.121822
##          |    0.0057*
##          |
## Calothri |  -1.590586   1.531235
##          |     0.1138     0.1166
##          |
## Calothri |  -2.623280   0.498541  -1.032693
##          |    0.0159*     0.3430     0.2019
##          |
## Calothri |   0.759682   3.881505   2.350269   3.382963
##          |     0.2635    0.0013*     0.0275    0.0033*
##          |
## Calothri |  -3.905245  -0.783423  -2.314658  -1.281964  -4.664928
##          |    0.0018*     0.2704     0.0269     0.1671    0.0003*
##          |
## Growth C |  -2.813200   0.308621  -1.222614  -0.189920  -3.572883   1.092044
##          |    0.0111*     0.3985     0.1712     0.4251    0.0024*     0.1967
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -3.121822 (0.0057)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -1.590586 (0.1138)
## Calothrix [1] - Calothrix [1/16]        :  1.531235 (0.1166)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -2.623280 (0.0159)*
## Calothrix [1] - Calothrix [1/2]         :  0.498541 (0.3430)
## Calothrix [1/16] - Calothrix [1/2]      : -1.032693 (0.2019)
## Azithromycin 50 mg/L - Calothrix [1/4]  :  0.759682 (0.2635)
## Calothrix [1] - Calothrix [1/4]         :  3.881505 (0.0013)*
## Calothrix [1/16] - Calothrix [1/4]      :  2.350269 (0.0275)
## Calothrix [1/2] - Calothrix [1/4]       :  3.382963 (0.0033)*
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.905245 (0.0018)*
## Calothrix [1] - Calothrix [1/8]         : -0.783423 (0.2704)
## Calothrix [1/16] - Calothrix [1/8]      : -2.314658 (0.0269)
## Calothrix [1/2] - Calothrix [1/8]       : -1.281964 (0.1671)
## Calothrix [1/4] - Calothrix [1/8]       : -4.664928 (0.0003)*
## Azithromycin 50 mg/L - Growth Control   : -2.813200 (0.0111)*
## Calothrix [1] - Growth Control          :  0.308621 (0.3985)
## Calothrix [1/16] - Growth Control       : -1.222614 (0.1712)
## Calothrix [1/2] - Growth Control        : -0.189920 (0.4251)
## Calothrix [1/4] - Growth Control        : -3.572883 (0.0024)*
## Calothrix [1/8] - Growth Control        :  1.092044 (0.1967)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 38.973, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -4.317080
##          |    0.0001*
##          |
## Calothri |  -9.481438  -5.164358
##          |    0.0000*    0.0000*
##          |
## Calothri |  -4.075001   0.242079   5.406437
##          |    0.0002*     0.4252    0.0000*
##          |
## Calothri |  -4.518813  -0.201732   4.962625  -0.443812
##          |    0.0001*     0.4205    0.0000*     0.3644
##          |
## Calothri |  -7.504457  -3.187377   1.976980  -3.429456  -2.985644
##          |    0.0000*    0.0019*     0.0319    0.0010*    0.0031*
##          |
## Growth C |  -11.61980  -7.302725  -2.138367  -7.544804  -7.100992  -4.115347
##          |    0.0000*    0.0000*    0.0237*    0.0000*    0.0000*    0.0002*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -4.317080 (0.0001)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -9.481438 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        : -5.164358 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.075001 (0.0002)*
## Calothrix [1] - Calothrix [1/2]         :  0.242079 (0.4252)
## Calothrix [1/16] - Calothrix [1/2]      :  5.406437 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/4]  : -4.518813 (0.0001)*
## Calothrix [1] - Calothrix [1/4]         : -0.201732 (0.4205)
## Calothrix [1/16] - Calothrix [1/4]      :  4.962625 (0.0000)*
## Calothrix [1/2] - Calothrix [1/4]       : -0.443812 (0.3644)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -7.504457 (0.0000)*
## Calothrix [1] - Calothrix [1/8]         : -3.187377 (0.0019)*
## Calothrix [1/16] - Calothrix [1/8]      :  1.976980 (0.0319)
## Calothrix [1/2] - Calothrix [1/8]       : -3.429456 (0.0010)*
## Calothrix [1/4] - Calothrix [1/8]       : -2.985644 (0.0031)*
## Azithromycin 50 mg/L - Growth Control   : -11.61980 (0.0000)*
## Calothrix [1] - Growth Control          : -7.302725 (0.0000)*
## Calothrix [1/16] - Growth Control       : -2.138367 (0.0237)*
## Calothrix [1/2] - Growth Control        : -7.544804 (0.0000)*
## Calothrix [1/4] - Growth Control        : -7.100992 (0.0000)*
## Calothrix [1/8] - Growth Control        : -4.115347 (0.0002)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 25.9758, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -0.876792
##          |     0.2415
##          |
## Calothri |   2.090811   2.967603
##          |     0.0298    0.0057*
##          |
## Calothri |   2.933880   3.810672   0.843069
##          |    0.0054*    0.0010*     0.2335
##          |
## Calothri |   2.259425   3.136217   0.168613  -0.674455
##          |    0.0225*    0.0043*     0.4335     0.2702
##          |
## Growth C |  -3.675781  -2.798989  -5.766593  -6.609662  -5.935207
##          |    0.0012*    0.0068*    0.0000*    0.0000*    0.0000*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -0.876792 (0.2415)
## Calothrix [1] - Calothrix [1/2]    :  2.090811 (0.0298)
## Calothrix [1/16] - Calothrix [1/2] :  2.967603 (0.0057)*
## Calothrix [1] - Calothrix [1/4]    :  2.933880 (0.0054)*
## Calothrix [1/16] - Calothrix [1/4] :  3.810672 (0.0010)*
## Calothrix [1/2] - Calothrix [1/4]  :  0.843069 (0.2335)
## Calothrix [1] - Calothrix [1/8]    :  2.259425 (0.0225)*
## Calothrix [1/16] - Calothrix [1/8] :  3.136217 (0.0043)*
## Calothrix [1/2] - Calothrix [1/8]  :  0.168613 (0.4335)
## Calothrix [1/4] - Calothrix [1/8]  : -0.674455 (0.2702)
## Calothrix [1] - Growth Control     : -3.675781 (0.0012)*
## Calothrix [1/16] - Growth Control  : -2.798989 (0.0068)*
## Calothrix [1/2] - Growth Control   : -5.766593 (0.0000)*
## Calothrix [1/4] - Growth Control   : -6.609662 (0.0000)*
## Calothrix [1/8] - Growth Control   : -5.935207 (0.0000)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 6.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 17.4812, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.431270
##          |     0.3583
##          |
## Calothri |   1.118606   0.687336
##          |     0.2256     0.3102
##          |
## Calothri |   1.064698   0.633428  -0.053908
##          |     0.2005     0.3060     0.4787
##          |
## Calothri |   2.183305   1.752034   1.064698   1.118606
##          |     0.0445     0.0946     0.2206     0.2538
##          |
## Growth C |  -2.614575  -3.045845  -3.733182  -3.679273  -4.797880
##          |    0.0194*    0.0081*    0.0024*    0.0019*    0.0002*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.431270 (0.3583)
## Calothrix [1] - Calothrix [1/2]    :  1.118606 (0.2256)
## Calothrix [1/16] - Calothrix [1/2] :  0.687336 (0.3102)
## Calothrix [1] - Calothrix [1/4]    :  1.064698 (0.2005)
## Calothrix [1/16] - Calothrix [1/4] :  0.633428 (0.3060)
## Calothrix [1/2] - Calothrix [1/4]  : -0.053908 (0.4787)
## Calothrix [1] - Calothrix [1/8]    :  2.183305 (0.0445)
## Calothrix [1/16] - Calothrix [1/8] :  1.752034 (0.0946)
## Calothrix [1/2] - Calothrix [1/8]  :  1.064698 (0.2206)
## Calothrix [1/4] - Calothrix [1/8]  :  1.118606 (0.2538)
## Calothrix [1] - Growth Control     : -2.614575 (0.0194)*
## Calothrix [1/16] - Growth Control  : -3.045845 (0.0081)*
## Calothrix [1/2] - Growth Control   : -3.733182 (0.0024)*
## Calothrix [1/4] - Growth Control   : -3.679273 (0.0019)*
## Calothrix [1/8] - Growth Control   : -4.797880 (0.0002)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 31.1496, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -6.260358
##          |    0.0000*
##          |
## Calothri |  -4.281849   1.978509
##          |    0.0003*     0.0381
##          |
## Calothri |  -4.163729   2.096629   0.118119
##          |    0.0003*     0.0340     0.4759
##          |
## Calothri |  -4.104669   2.155689   0.177179   0.059059
##          |    0.0003*     0.0323     0.4754     0.4766
##          |
## Calothri |  -3.336889   2.923469   0.944959   0.826839   0.767779
##          |    0.0019*    0.0053*     0.2297     0.2551     0.2607
##          |
## Growth C |  -8.238868  -1.978509  -3.957019  -4.075139  -4.134199  -4.901979
##          |    0.0000*     0.0408    0.0003*    0.0003*    0.0003*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -6.260358 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -4.281849 (0.0003)*
## Calothrix [1] - Calothrix [1/16]        :  1.978509 (0.0381)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.163729 (0.0003)*
## Calothrix [1] - Calothrix [1/2]         :  2.096629 (0.0340)
## Calothrix [1/16] - Calothrix [1/2]      :  0.118119 (0.4759)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -4.104669 (0.0003)*
## Calothrix [1] - Calothrix [1/4]         :  2.155689 (0.0323)
## Calothrix [1/16] - Calothrix [1/4]      :  0.177179 (0.4754)
## Calothrix [1/2] - Calothrix [1/4]       :  0.059059 (0.4766)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.336889 (0.0019)*
## Calothrix [1] - Calothrix [1/8]         :  2.923469 (0.0053)*
## Calothrix [1/16] - Calothrix [1/8]      :  0.944959 (0.2297)
## Calothrix [1/2] - Calothrix [1/8]       :  0.826839 (0.2551)
## Calothrix [1/4] - Calothrix [1/8]       :  0.767779 (0.2607)
## Azithromycin 50 mg/L - Growth Control   : -8.238868 (0.0000)*
## Calothrix [1] - Growth Control          : -1.978509 (0.0408)
## Calothrix [1/16] - Growth Control       : -3.957019 (0.0003)*
## Calothrix [1/2] - Growth Control        : -4.075139 (0.0003)*
## Calothrix [1/4] - Growth Control        : -4.134199 (0.0003)*
## Calothrix [1/8] - Growth Control        : -4.901979 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 13.786, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.302943
##          |     0.2511
##          |
## Calothri |   0.501132  -0.801811
##          |     0.3871     0.4585
##          |
## Calothri |   0.751698  -0.551245   0.250566
##          |     0.3809     0.3988     0.4305
##          |
## Calothri |   0.751698  -0.551245   0.250566   0.000000
##          |     0.4285     0.4387     0.4636     0.5000
##          |
## Growth C |  -2.480604  -3.783548  -2.981737  -3.232303  -3.232303
##          |     0.0269    0.0042*    0.0096*    0.0066*    0.0099*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.302943 (0.2511)
## Calothrix [1] - Calothrix [1/2]    :  0.501132 (0.3871)
## Calothrix [1/16] - Calothrix [1/2] : -0.801811 (0.4585)
## Calothrix [1] - Calothrix [1/4]    :  0.751698 (0.3809)
## Calothrix [1/16] - Calothrix [1/4] : -0.551245 (0.3988)
## Calothrix [1/2] - Calothrix [1/4]  :  0.250566 (0.4305)
## Calothrix [1] - Calothrix [1/8]    :  0.751698 (0.4285)
## Calothrix [1/16] - Calothrix [1/8] : -0.551245 (0.4387)
## Calothrix [1/2] - Calothrix [1/8]  :  0.250566 (0.4636)
## Calothrix [1/4] - Calothrix [1/8]  :  0.000000 (0.5000)
## Calothrix [1] - Growth Control     : -2.480604 (0.0269)
## Calothrix [1/16] - Growth Control  : -3.783548 (0.0042)*
## Calothrix [1/2] - Growth Control   : -2.981737 (0.0096)*
## Calothrix [1/4] - Growth Control   : -3.232303 (0.0066)*
## Calothrix [1/8] - Growth Control   : -3.232303 (0.0099)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 21.2089, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -4.145312
##          |    0.0006*
##          |
## Calothri |  -3.360747   0.784564
##          |    0.0029*     0.3278
##          |
## Calothri |  -4.250701  -0.105389  -0.889954
##          |    0.0006*     0.4812     0.3312
##          |
## Calothri |  -3.583235   0.562076  -0.222488   0.667465
##          |    0.0023*     0.3564     0.4813     0.3335
##          |
## Calothri |  -3.419297   0.726015  -0.058549   0.831404   0.163938
##          |    0.0030*     0.3303     0.4768     0.3315     0.4811
##          |
## Growth C |  -5.339724  -1.194411  -1.978976  -1.089022  -1.756488  -1.920427
##          |    0.0000*     0.2510     0.0816     0.2695     0.1007     0.0809
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -4.145312 (0.0006)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.360747 (0.0029)*
## Calothrix [1] - Calothrix [1/16]        :  0.784564 (0.3278)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.250701 (0.0006)*
## Calothrix [1] - Calothrix [1/2]         : -0.105389 (0.4812)
## Calothrix [1/16] - Calothrix [1/2]      : -0.889954 (0.3312)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.583235 (0.0023)*
## Calothrix [1] - Calothrix [1/4]         :  0.562076 (0.3564)
## Calothrix [1/16] - Calothrix [1/4]      : -0.222488 (0.4813)
## Calothrix [1/2] - Calothrix [1/4]       :  0.667465 (0.3335)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.419297 (0.0030)*
## Calothrix [1] - Calothrix [1/8]         :  0.726015 (0.3303)
## Calothrix [1/16] - Calothrix [1/8]      : -0.058549 (0.4768)
## Calothrix [1/2] - Calothrix [1/8]       :  0.831404 (0.3315)
## Calothrix [1/4] - Calothrix [1/8]       :  0.163938 (0.4811)
## Azithromycin 50 mg/L - Growth Control   : -5.339724 (0.0000)*
## Calothrix [1] - Growth Control          : -1.194411 (0.2510)
## Calothrix [1/16] - Growth Control       : -1.978976 (0.0816)
## Calothrix [1/2] - Growth Control        : -1.089022 (0.2695)
## Calothrix [1/4] - Growth Control        : -1.756488 (0.1007)
## Calothrix [1/8] - Growth Control        : -1.920427 (0.0809)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 4.6621, df = 5, p-value = 0.46
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.322722
##          |     0.4857
##          |
## Calothri |   0.390311  -0.932411
##          |     0.4366     0.4467
##          |
## Calothri |   0.390311  -0.932411   0.000000
##          |     0.4763     0.5360     0.5000
##          |
## Calothri |   1.301038  -0.021683   0.910727   0.910727
##          |     0.3778     0.5265     0.3455     0.3948
##          |
## Growth C |  -0.346943  -1.669666  -0.737255  -0.737255  -1.647982
##          |     0.4215     0.7774     0.3493     0.3881     0.4052
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.322722 (0.4857)
## Calothrix [1] - Calothrix [1/2]    :  0.390311 (0.4366)
## Calothrix [1/16] - Calothrix [1/2] : -0.932411 (0.4467)
## Calothrix [1] - Calothrix [1/4]    :  0.390311 (0.4763)
## Calothrix [1/16] - Calothrix [1/4] : -0.932411 (0.5360)
## Calothrix [1/2] - Calothrix [1/4]  :  0.000000 (0.5000)
## Calothrix [1] - Calothrix [1/8]    :  1.301038 (0.3778)
## Calothrix [1/16] - Calothrix [1/8] : -0.021683 (0.5265)
## Calothrix [1/2] - Calothrix [1/8]  :  0.910727 (0.3455)
## Calothrix [1/4] - Calothrix [1/8]  :  0.910727 (0.3948)
## Calothrix [1] - Growth Control     : -0.346943 (0.4215)
## Calothrix [1/16] - Growth Control  : -1.669666 (0.7774)
## Calothrix [1/2] - Growth Control   : -0.737255 (0.3493)
## Calothrix [1/4] - Growth Control   : -0.737255 (0.3881)
## Calothrix [1/8] - Growth Control   : -1.647982 (0.4052)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.9725, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -4.144330
##          |    0.0006*
##          |
## Calothri |  -2.885003   1.259327
##          |    0.0108*     0.2507
##          |
## Calothri |  -4.304608  -0.160277  -1.419605
##          |    0.0005*     0.4586     0.2141
##          |
## Calothri |  -4.006949   0.137381  -1.121945   0.297659
##          |    0.0006*     0.4457     0.2817     0.4477
##          |
## Calothri |  -3.663497   0.480833  -0.778493   0.641111   0.343452
##          |    0.0015*     0.4432     0.3856     0.4240     0.4527
##          |
## Growth C |  -4.556474  -0.412143  -1.671470  -0.251865  -0.549524  -0.892977
##          |    0.0005*     0.4478     0.1531     0.4434     0.4392     0.3598
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -4.144330 (0.0006)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -2.885003 (0.0108)*
## Calothrix [1] - Calothrix [1/16]        :  1.259327 (0.2507)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.304608 (0.0005)*
## Calothrix [1] - Calothrix [1/2]         : -0.160277 (0.4586)
## Calothrix [1/16] - Calothrix [1/2]      : -1.419605 (0.2141)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -4.006949 (0.0006)*
## Calothrix [1] - Calothrix [1/4]         :  0.137381 (0.4457)
## Calothrix [1/16] - Calothrix [1/4]      : -1.121945 (0.2817)
## Calothrix [1/2] - Calothrix [1/4]       :  0.297659 (0.4477)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.663497 (0.0015)*
## Calothrix [1] - Calothrix [1/8]         :  0.480833 (0.4432)
## Calothrix [1/16] - Calothrix [1/8]      : -0.778493 (0.3856)
## Calothrix [1/2] - Calothrix [1/8]       :  0.641111 (0.4240)
## Calothrix [1/4] - Calothrix [1/8]       :  0.343452 (0.4527)
## Azithromycin 50 mg/L - Growth Control   : -4.556474 (0.0005)*
## Calothrix [1] - Growth Control          : -0.412143 (0.4478)
## Calothrix [1/16] - Growth Control       : -1.671470 (0.1531)
## Calothrix [1/2] - Growth Control        : -0.251865 (0.4434)
## Calothrix [1/4] - Growth Control        : -0.549524 (0.4392)
## Calothrix [1/8] - Growth Control        : -0.892977 (0.3598)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 28.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 1.8239, df = 5, p-value = 0.87
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.187953
##          |     0.4915
##          |
## Calothri |  -0.250605  -0.438558
##          |     0.5022     0.6221
##          |
## Calothri |  -0.584745  -0.772698  -0.334140
##          |     0.6025     0.8339     0.5047
##          |
## Calothri |   0.355023   0.167070   0.605628   0.939768
##          |     0.5435     0.4651     0.6857     1.0000
##          |
## Growth C |  -0.647396  -0.835350  -0.396791  -0.062651  -1.002420
##          |     0.7822     1.0000     0.5782     0.4752     1.0000
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.187953 (0.4915)
## Calothrix [1] - Calothrix [1/2]    : -0.250605 (0.5022)
## Calothrix [1/16] - Calothrix [1/2] : -0.438558 (0.6221)
## Calothrix [1] - Calothrix [1/4]    : -0.584745 (0.6025)
## Calothrix [1/16] - Calothrix [1/4] : -0.772698 (0.8339)
## Calothrix [1/2] - Calothrix [1/4]  : -0.334140 (0.5047)
## Calothrix [1] - Calothrix [1/8]    :  0.355023 (0.5435)
## Calothrix [1/16] - Calothrix [1/8] :  0.167070 (0.4651)
## Calothrix [1/2] - Calothrix [1/8]  :  0.605628 (0.6857)
## Calothrix [1/4] - Calothrix [1/8]  :  0.939768 (1.0000)
## Calothrix [1] - Growth Control     : -0.647396 (0.7822)
## Calothrix [1/16] - Growth Control  : -0.835350 (1.0000)
## Calothrix [1/2] - Growth Control   : -0.396791 (0.5782)
## Calothrix [1/4] - Growth Control   : -0.062651 (0.4752)
## Calothrix [1/8] - Growth Control   : -1.002420 (1.0000)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 30.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 1.2031, df = 5, p-value = 0.94
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.020720
##          |     0.4918
##          |
## Calothri |  -0.248642  -0.269362
##          |     0.6038     0.6577
##          |
## Calothri |  -0.663047  -0.683767  -0.414404
##          |     0.9591     1.0000     0.6385
##          |
## Calothri |  -0.165761  -0.186482   0.082880   0.497285
##          |     0.5433     0.5817     0.5006     0.6664
##          |
## Growth C |  -0.745928  -0.766648  -0.497285  -0.082880  -0.580166
##          |     1.0000     1.0000     0.7775     0.5391     0.8481
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.020720 (0.4918)
## Calothrix [1] - Calothrix [1/2]    : -0.248642 (0.6038)
## Calothrix [1/16] - Calothrix [1/2] : -0.269362 (0.6577)
## Calothrix [1] - Calothrix [1/4]    : -0.663047 (0.9591)
## Calothrix [1/16] - Calothrix [1/4] : -0.683767 (1.0000)
## Calothrix [1/2] - Calothrix [1/4]  : -0.414404 (0.6385)
## Calothrix [1] - Calothrix [1/8]    : -0.165761 (0.5433)
## Calothrix [1/16] - Calothrix [1/8] : -0.186482 (0.5817)
## Calothrix [1/2] - Calothrix [1/8]  :  0.082880 (0.5006)
## Calothrix [1/4] - Calothrix [1/8]  :  0.497285 (0.6664)
## Calothrix [1] - Growth Control     : -0.745928 (1.0000)
## Calothrix [1/16] - Growth Control  : -0.766648 (1.0000)
## Calothrix [1/2] - Growth Control   : -0.497285 (0.7775)
## Calothrix [1/4] - Growth Control   : -0.082880 (0.5391)
## Calothrix [1/8] - Growth Control   : -0.580166 (0.8481)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 0, df = 0, p-value = 1
## Error in Psort[1, i]: subscript out of bounds

Klebsiella Inhibition

For Klebsiella too, stored in the dataframe Calo_kleb, we will perform looped Conover Post-Hoc Tests.

tiempo_levels <- unique(Calo_kleb$tiempo)
# Initialize a list to store the test results
conover_results <- list()

# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
  # Subset data for the current level of tiempo
  data_subset <- Calo_kleb[Calo_kleb$tiempo == level, ]
  
  # Print the current level of tiempo
  cat("Conover test for tiempo:", level, "\n")
  
  # Perform Conover test
  conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
  
  # Store the result in the list
  conover_results[[as.character(level)]] <- conover_result
}
## Conover test for tiempo: 0 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 35.3702, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -5.290144
##          |    0.0000*
##          |
## Calothri |  -9.334546  -4.044401
##          |    0.0000*    0.0003*
##          |
## Calothri |  -3.839621   1.450523   5.494924
##          |    0.0004*     0.0853    0.0000*
##          |
## Calothri |  -6.945448  -1.655303   2.389097  -3.105827
##          |    0.0000*     0.0614    0.0150*    0.0030*
##          |
## Calothri |  -7.064903  -1.774758   2.269642  -3.225281  -0.119454
##          |    0.0000*     0.0514    0.0187*    0.0023*     0.4527
##          |
## Growth C |  -2.645072   2.645072   6.689473   1.194548   4.300375   4.419830
##          |    0.0086*    0.0092*    0.0000*     0.1255    0.0001*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -5.290144 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -9.334546 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        : -4.044401 (0.0003)*
## Azithromycin 50 mg/L - Calothrix [1/2]  : -3.839621 (0.0004)*
## Calothrix [1] - Calothrix [1/2]         :  1.450523 (0.0853)
## Calothrix [1/16] - Calothrix [1/2]      :  5.494924 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/4]  : -6.945448 (0.0000)*
## Calothrix [1] - Calothrix [1/4]         : -1.655303 (0.0614)
## Calothrix [1/16] - Calothrix [1/4]      :  2.389097 (0.0150)*
## Calothrix [1/2] - Calothrix [1/4]       : -3.105827 (0.0030)*
## Azithromycin 50 mg/L - Calothrix [1/8]  : -7.064903 (0.0000)*
## Calothrix [1] - Calothrix [1/8]         : -1.774758 (0.0514)
## Calothrix [1/16] - Calothrix [1/8]      :  2.269642 (0.0187)*
## Calothrix [1/2] - Calothrix [1/8]       : -3.225281 (0.0023)*
## Calothrix [1/4] - Calothrix [1/8]       : -0.119454 (0.4527)
## Azithromycin 50 mg/L - Growth Control   : -2.645072 (0.0086)*
## Calothrix [1] - Growth Control          :  2.645072 (0.0092)*
## Calothrix [1/16] - Growth Control       :  6.689473 (0.0000)*
## Calothrix [1/2] - Growth Control        :  1.194548 (0.1255)
## Calothrix [1/4] - Growth Control        :  4.300375 (0.0001)*
## Calothrix [1/8] - Growth Control        :  4.419830 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 40.8871, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -10.22727
##          |    0.0000*
##          |
## Calothri |  -6.045454   4.181818
##          |    0.0000*    0.0001*
##          |
## Calothri |  -8.931818   1.295454  -2.886363
##          |    0.0000*     0.1062    0.0038*
##          |
## Calothri |  -3.909090   6.318181   2.136363   5.022727
##          |    0.0002*    0.0000*    0.0225*    0.0000*
##          |
## Calothri |  -4.295454   5.931818   1.749999   4.636363  -0.386363
##          |    0.0001*    0.0000*     0.0483    0.0000*     0.3506
##          |
## Growth C |  -13.36363  -3.136363  -7.318181  -4.431818  -9.454545  -9.068181
##          |    0.0000*    0.0020*    0.0000*    0.0001*    0.0000*    0.0000*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -10.22727 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -6.045454 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        :  4.181818 (0.0001)*
## Azithromycin 50 mg/L - Calothrix [1/2]  : -8.931818 (0.0000)*
## Calothrix [1] - Calothrix [1/2]         :  1.295454 (0.1062)
## Calothrix [1/16] - Calothrix [1/2]      : -2.886363 (0.0038)*
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.909090 (0.0002)*
## Calothrix [1] - Calothrix [1/4]         :  6.318181 (0.0000)*
## Calothrix [1/16] - Calothrix [1/4]      :  2.136363 (0.0225)*
## Calothrix [1/2] - Calothrix [1/4]       :  5.022727 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/8]  : -4.295454 (0.0001)*
## Calothrix [1] - Calothrix [1/8]         :  5.931818 (0.0000)*
## Calothrix [1/16] - Calothrix [1/8]      :  1.749999 (0.0483)
## Calothrix [1/2] - Calothrix [1/8]       :  4.636363 (0.0000)*
## Calothrix [1/4] - Calothrix [1/8]       : -0.386363 (0.3506)
## Azithromycin 50 mg/L - Growth Control   : -13.36363 (0.0000)*
## Calothrix [1] - Growth Control          : -3.136363 (0.0020)*
## Calothrix [1/16] - Growth Control       : -7.318181 (0.0000)*
## Calothrix [1/2] - Growth Control        : -4.431818 (0.0001)*
## Calothrix [1/4] - Growth Control        : -9.454545 (0.0000)*
## Calothrix [1/8] - Growth Control        : -9.068181 (0.0000)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 21.0248, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.628849
##          |     0.2858
##          |
## Calothri |   1.506313   0.877464
##          |     0.1173     0.2413
##          |
## Calothri |   2.413026   1.784177   0.906713
##          |     0.0263     0.0887     0.2527
##          |
## Calothri |   1.667182   1.038332   0.160868  -0.745844
##          |     0.0976     0.2295     0.4365     0.2657
##          |
## Growth C |  -3.056500  -3.685350  -4.562814  -5.469527  -4.723683
##          |    0.0063*    0.0014*    0.0001*    0.0000*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.628849 (0.2858)
## Calothrix [1] - Calothrix [1/2]    :  1.506313 (0.1173)
## Calothrix [1/16] - Calothrix [1/2] :  0.877464 (0.2413)
## Calothrix [1] - Calothrix [1/4]    :  2.413026 (0.0263)
## Calothrix [1/16] - Calothrix [1/4] :  1.784177 (0.0887)
## Calothrix [1/2] - Calothrix [1/4]  :  0.906713 (0.2527)
## Calothrix [1] - Calothrix [1/8]    :  1.667182 (0.0976)
## Calothrix [1/16] - Calothrix [1/8] :  1.038332 (0.2295)
## Calothrix [1/2] - Calothrix [1/8]  :  0.160868 (0.4365)
## Calothrix [1/4] - Calothrix [1/8]  : -0.745844 (0.2657)
## Calothrix [1] - Growth Control     : -3.056500 (0.0063)*
## Calothrix [1/16] - Growth Control  : -3.685350 (0.0014)*
## Calothrix [1/2] - Growth Control   : -4.562814 (0.0001)*
## Calothrix [1/4] - Growth Control   : -5.469527 (0.0000)*
## Calothrix [1/8] - Growth Control   : -4.723683 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 6.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.0025, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.167224
##          |     0.4651
##          |
## Calothri |  -1.309928  -1.477153
##          |     0.1861     0.1589
##          |
## Calothri |  -0.306579  -0.473804   1.003349
##          |     0.4756     0.4353     0.2687
##          |
## Calothri |   0.195095   0.027870   1.505024   0.501674
##          |     0.4883     0.4890     0.1763     0.4642
##          |
## Growth C |  -4.347848  -4.515073  -3.037919  -4.041269  -4.542944
##          |    0.0003*    0.0002*    0.0066*    0.0005*    0.0005*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.167224 (0.4651)
## Calothrix [1] - Calothrix [1/2]    : -1.309928 (0.1861)
## Calothrix [1/16] - Calothrix [1/2] : -1.477153 (0.1589)
## Calothrix [1] - Calothrix [1/4]    : -0.306579 (0.4756)
## Calothrix [1/16] - Calothrix [1/4] : -0.473804 (0.4353)
## Calothrix [1/2] - Calothrix [1/4]  :  1.003349 (0.2687)
## Calothrix [1] - Calothrix [1/8]    :  0.195095 (0.4883)
## Calothrix [1/16] - Calothrix [1/8] :  0.027870 (0.4890)
## Calothrix [1/2] - Calothrix [1/8]  :  1.505024 (0.1763)
## Calothrix [1/4] - Calothrix [1/8]  :  0.501674 (0.4642)
## Calothrix [1] - Growth Control     : -4.347848 (0.0003)*
## Calothrix [1/16] - Growth Control  : -4.515073 (0.0002)*
## Calothrix [1/2] - Growth Control   : -3.037919 (0.0066)*
## Calothrix [1/4] - Growth Control   : -4.041269 (0.0005)*
## Calothrix [1/8] - Growth Control   : -4.542944 (0.0005)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 34.3938, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -6.704114
##          |    0.0000*
##          |
## Calothri |  -5.290992   1.413122
##          |    0.0000*     0.1083
##          |
## Calothri |  -4.600862   2.103251   0.690129
##          |    0.0001*     0.0311     0.2593
##          |
## Calothri |  -4.239366   2.464747   1.051625   0.361496
##          |    0.0001*    0.0144*     0.1744     0.3598
##          |
## Calothri |  -3.319193   3.384920   1.971798   1.281668   0.920172
##          |    0.0018*    0.0016*     0.0387     0.1278     0.2005
##          |
## Growth C |  -9.661812  -2.957697  -4.370819  -5.060949  -5.422445  -6.342618
##          |    0.0000*    0.0044*    0.0001*    0.0000*    0.0000*    0.0000*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -6.704114 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -5.290992 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        :  1.413122 (0.1083)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.600862 (0.0001)*
## Calothrix [1] - Calothrix [1/2]         :  2.103251 (0.0311)
## Calothrix [1/16] - Calothrix [1/2]      :  0.690129 (0.2593)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -4.239366 (0.0001)*
## Calothrix [1] - Calothrix [1/4]         :  2.464747 (0.0144)*
## Calothrix [1/16] - Calothrix [1/4]      :  1.051625 (0.1744)
## Calothrix [1/2] - Calothrix [1/4]       :  0.361496 (0.3598)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.319193 (0.0018)*
## Calothrix [1] - Calothrix [1/8]         :  3.384920 (0.0016)*
## Calothrix [1/16] - Calothrix [1/8]      :  1.971798 (0.0387)
## Calothrix [1/2] - Calothrix [1/8]       :  1.281668 (0.1278)
## Calothrix [1/4] - Calothrix [1/8]       :  0.920172 (0.2005)
## Azithromycin 50 mg/L - Growth Control   : -9.661812 (0.0000)*
## Calothrix [1] - Growth Control          : -2.957697 (0.0044)*
## Calothrix [1/16] - Growth Control       : -4.370819 (0.0001)*
## Calothrix [1/2] - Growth Control        : -5.060949 (0.0000)*
## Calothrix [1/4] - Growth Control        : -5.422445 (0.0000)*
## Calothrix [1/8] - Growth Control        : -6.342618 (0.0000)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 18.3299, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -0.343178
##          |     0.4232
##          |
## Calothri |   0.672629   1.015808
##          |     0.4212     0.3391
##          |
## Calothri |   0.878536   1.221715   0.205907
##          |     0.3614     0.2872     0.4190
##          |
## Calothri |   0.233361   0.576539  -0.439268  -0.645175
##          |     0.4376     0.3872     0.4144     0.3922
##          |
## Growth C |  -3.747508  -3.404330  -4.420138  -4.626045  -3.980870
##          |    0.0012*    0.0025*    0.0003*    0.0004*    0.0008*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -0.343178 (0.4232)
## Calothrix [1] - Calothrix [1/2]    :  0.672629 (0.4212)
## Calothrix [1/16] - Calothrix [1/2] :  1.015808 (0.3391)
## Calothrix [1] - Calothrix [1/4]    :  0.878536 (0.3614)
## Calothrix [1/16] - Calothrix [1/4] :  1.221715 (0.2872)
## Calothrix [1/2] - Calothrix [1/4]  :  0.205907 (0.4190)
## Calothrix [1] - Calothrix [1/8]    :  0.233361 (0.4376)
## Calothrix [1/16] - Calothrix [1/8] :  0.576539 (0.3872)
## Calothrix [1/2] - Calothrix [1/8]  : -0.439268 (0.4144)
## Calothrix [1/4] - Calothrix [1/8]  : -0.645175 (0.3922)
## Calothrix [1] - Growth Control     : -3.747508 (0.0012)*
## Calothrix [1/16] - Growth Control  : -3.404330 (0.0025)*
## Calothrix [1/2] - Growth Control   : -4.420138 (0.0003)*
## Calothrix [1/4] - Growth Control   : -4.626045 (0.0004)*
## Calothrix [1/8] - Growth Control   : -3.980870 (0.0008)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 33.2683, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -5.747959
##          |    0.0000*
##          |
## Calothri |  -5.747959   0.000000
##          |    0.0000*     0.5000
##          |
## Calothri |  -4.232014   1.515945   1.515945
##          |    0.0002*     0.0846     0.0899
##          |
## Calothri |  -3.537206   2.210753   2.210753   0.694808
##          |    0.0010*     0.0263     0.0285     0.2864
##          |
## Calothri |  -3.947774   1.800185   1.800185   0.284239  -0.410568
##          |    0.0004*     0.0553     0.0593     0.4083     0.3777
##          |
## Growth C |  -9.285165  -3.537206  -3.537206  -5.053151  -5.747959  -5.337391
##          |    0.0000*    0.0011*    0.0012*    0.0000*    0.0000*    0.0000*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -5.747959 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -5.747959 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        :  0.000000 (0.5000)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.232014 (0.0002)*
## Calothrix [1] - Calothrix [1/2]         :  1.515945 (0.0846)
## Calothrix [1/16] - Calothrix [1/2]      :  1.515945 (0.0899)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.537206 (0.0010)*
## Calothrix [1] - Calothrix [1/4]         :  2.210753 (0.0263)
## Calothrix [1/16] - Calothrix [1/4]      :  2.210753 (0.0285)
## Calothrix [1/2] - Calothrix [1/4]       :  0.694808 (0.2864)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.947774 (0.0004)*
## Calothrix [1] - Calothrix [1/8]         :  1.800185 (0.0553)
## Calothrix [1/16] - Calothrix [1/8]      :  1.800185 (0.0593)
## Calothrix [1/2] - Calothrix [1/8]       :  0.284239 (0.4083)
## Calothrix [1/4] - Calothrix [1/8]       : -0.410568 (0.3777)
## Azithromycin 50 mg/L - Growth Control   : -9.285165 (0.0000)*
## Calothrix [1] - Growth Control          : -3.537206 (0.0011)*
## Calothrix [1/16] - Growth Control       : -3.537206 (0.0012)*
## Calothrix [1/2] - Growth Control        : -5.053151 (0.0000)*
## Calothrix [1/4] - Growth Control        : -5.747959 (0.0000)*
## Calothrix [1/8] - Growth Control        : -5.337391 (0.0000)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 20.9032, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.204104
##          |     0.4197
##          |
## Calothri |   0.466525   0.262420
##          |     0.3713     0.4256
##          |
## Calothri |   1.603681   1.399576   1.137155
##          |     0.0979     0.1276     0.1793
##          |
## Calothri |   2.099364   1.895259   1.632838   0.495683
##          |     0.0536     0.0708     0.1043     0.3895
##          |
## Growth C |  -3.411466  -3.615571  -3.877992  -5.015148  -5.510831
##          |    0.0024*    0.0017*    0.0011*    0.0001*    0.0000*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.204104 (0.4197)
## Calothrix [1] - Calothrix [1/2]    :  0.466525 (0.3713)
## Calothrix [1/16] - Calothrix [1/2] :  0.262420 (0.4256)
## Calothrix [1] - Calothrix [1/4]    :  1.603681 (0.0979)
## Calothrix [1/16] - Calothrix [1/4] :  1.399576 (0.1276)
## Calothrix [1/2] - Calothrix [1/4]  :  1.137155 (0.1793)
## Calothrix [1] - Calothrix [1/8]    :  2.099364 (0.0536)
## Calothrix [1/16] - Calothrix [1/8] :  1.895259 (0.0708)
## Calothrix [1/2] - Calothrix [1/8]  :  1.632838 (0.1043)
## Calothrix [1/4] - Calothrix [1/8]  :  0.495683 (0.3895)
## Calothrix [1] - Growth Control     : -3.411466 (0.0024)*
## Calothrix [1/16] - Growth Control  : -3.615571 (0.0017)*
## Calothrix [1/2] - Growth Control   : -3.877992 (0.0011)*
## Calothrix [1/4] - Growth Control   : -5.015148 (0.0001)*
## Calothrix [1/8] - Growth Control   : -5.510831 (0.0000)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 31.6673, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -5.189147
##          |    0.0000*
##          |
## Calothri |  -5.024174   0.164972
##          |    0.0000*     0.4566
##          |
## Calothri |  -4.304292   0.884854   0.719881
##          |    0.0001*     0.2502     0.2937
##          |
## Calothri |  -3.719389   1.469758   1.304785   0.584903
##          |    0.0006*     0.1304     0.1493     0.3277
##          |
## Calothri |  -3.809374   1.379773   1.214800   0.494918  -0.089985
##          |    0.0006*     0.1413     0.1619     0.3444     0.4644
##          |
## Growth C |  -8.818551  -3.629403  -3.794376  -4.514258  -5.099162  -5.009177
##          |    0.0000*    0.0007*    0.0005*    0.0001*    0.0000*    0.0000*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -5.189147 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -5.024174 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        :  0.164972 (0.4566)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.304292 (0.0001)*
## Calothrix [1] - Calothrix [1/2]         :  0.884854 (0.2502)
## Calothrix [1/16] - Calothrix [1/2]      :  0.719881 (0.2937)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.719389 (0.0006)*
## Calothrix [1] - Calothrix [1/4]         :  1.469758 (0.1304)
## Calothrix [1/16] - Calothrix [1/4]      :  1.304785 (0.1493)
## Calothrix [1/2] - Calothrix [1/4]       :  0.584903 (0.3277)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.809374 (0.0006)*
## Calothrix [1] - Calothrix [1/8]         :  1.379773 (0.1413)
## Calothrix [1/16] - Calothrix [1/8]      :  1.214800 (0.1619)
## Calothrix [1/2] - Calothrix [1/8]       :  0.494918 (0.3444)
## Calothrix [1/4] - Calothrix [1/8]       : -0.089985 (0.4644)
## Azithromycin 50 mg/L - Growth Control   : -8.818551 (0.0000)*
## Calothrix [1] - Growth Control          : -3.629403 (0.0007)*
## Calothrix [1/16] - Growth Control       : -3.794376 (0.0005)*
## Calothrix [1/2] - Growth Control        : -4.514258 (0.0001)*
## Calothrix [1/4] - Growth Control        : -5.099162 (0.0000)*
## Calothrix [1/8] - Growth Control        : -5.009177 (0.0000)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 28.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 18.5339, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -0.413663
##          |     0.3932
##          |
## Calothri |   0.275775   0.689438
##          |     0.4202     0.3712
##          |
## Calothri |   1.020368   1.434031   0.744593
##          |     0.3368     0.2002     0.3845
##          |
## Calothri |   0.496395   0.910058   0.220620  -0.523973
##          |     0.3891     0.3458     0.4133     0.4115
##          |
## Growth C |  -3.778122  -3.364459  -4.053897  -4.798491  -4.274518
##          |    0.0011*    0.0027*    0.0006*    0.0002*    0.0005*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -0.413663 (0.3932)
## Calothrix [1] - Calothrix [1/2]    :  0.275775 (0.4202)
## Calothrix [1/16] - Calothrix [1/2] :  0.689438 (0.3712)
## Calothrix [1] - Calothrix [1/4]    :  1.020368 (0.3368)
## Calothrix [1/16] - Calothrix [1/4] :  1.434031 (0.2002)
## Calothrix [1/2] - Calothrix [1/4]  :  0.744593 (0.3845)
## Calothrix [1] - Calothrix [1/8]    :  0.496395 (0.3891)
## Calothrix [1/16] - Calothrix [1/8] :  0.910058 (0.3458)
## Calothrix [1/2] - Calothrix [1/8]  :  0.220620 (0.4133)
## Calothrix [1/4] - Calothrix [1/8]  : -0.523973 (0.4115)
## Calothrix [1] - Growth Control     : -3.778122 (0.0011)*
## Calothrix [1/16] - Growth Control  : -3.364459 (0.0027)*
## Calothrix [1/2] - Growth Control   : -4.053897 (0.0006)*
## Calothrix [1/4] - Growth Control   : -4.798491 (0.0002)*
## Calothrix [1/8] - Growth Control   : -4.274518 (0.0005)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 30.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.1202, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -0.335348
##          |     0.3961
##          |
## Calothri |   0.363294   0.698642
##          |     0.4145     0.3336
##          |
## Calothri |   1.369339   1.704687   1.006045
##          |     0.1922     0.1211     0.3010
##          |
## Calothri |   0.558913   0.894262   0.195619  -0.810425
##          |     0.3623     0.3143     0.4230     0.3173
##          |
## Growth C |  -3.716777  -3.381429  -4.080071  -5.086116  -4.275691
##          |    0.0013*    0.0026*    0.0006*    0.0001*    0.0005*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -0.335348 (0.3961)
## Calothrix [1] - Calothrix [1/2]    :  0.363294 (0.4145)
## Calothrix [1/16] - Calothrix [1/2] :  0.698642 (0.3336)
## Calothrix [1] - Calothrix [1/4]    :  1.369339 (0.1922)
## Calothrix [1/16] - Calothrix [1/4] :  1.704687 (0.1211)
## Calothrix [1/2] - Calothrix [1/4]  :  1.006045 (0.3010)
## Calothrix [1] - Calothrix [1/8]    :  0.558913 (0.3623)
## Calothrix [1/16] - Calothrix [1/8] :  0.894262 (0.3143)
## Calothrix [1/2] - Calothrix [1/8]  :  0.195619 (0.4230)
## Calothrix [1/4] - Calothrix [1/8]  : -0.810425 (0.3173)
## Calothrix [1] - Growth Control     : -3.716777 (0.0013)*
## Calothrix [1/16] - Growth Control  : -3.381429 (0.0026)*
## Calothrix [1/2] - Growth Control   : -4.080071 (0.0006)*
## Calothrix [1/4] - Growth Control   : -5.086116 (0.0001)*
## Calothrix [1/8] - Growth Control   : -4.275691 (0.0005)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 0, df = 0, p-value = 1
## Error in Psort[1, i]: subscript out of bounds

Salmonella Inhibition

For Salmonella too, stored in the dataframe Calo_salm, we will perform looped Conover Post-Hoc Tests.

tiempo_levels <- unique(Calo_salm$tiempo)
# Initialize a list to store the test results
conover_results <- list()

# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
  # Subset data for the current level of tiempo
  data_subset <- Calo_salm[Calo_salm$tiempo == level, ]
  
  # Print the current level of tiempo
  cat("Conover test for tiempo:", level, "\n")
  
  # Perform Conover test
  conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
  
  # Store the result in the list
  conover_results[[as.character(level)]] <- conover_result
}
## Conover test for tiempo: 0 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 37.8125, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -5.717316
##          |    0.0000*
##          |
## Calothri |  -10.75083  -5.033518
##          |    0.0000*    0.0000*
##          |
## Calothri |  -6.856981  -1.139664   3.893853
##          |    0.0000*     0.1370    0.0004*
##          |
## Calothri |  -3.286032   2.431284   7.464802   3.570948
##          |    0.0017*    0.0127*    0.0000*    0.0008*
##          |
## Calothri |  -8.718433  -3.001116   2.032401  -1.861452  -5.432400
##          |    0.0000*    0.0032*     0.0299     0.0385    0.0000*
##          |
## Growth C |  -3.760892   1.956424   6.989942   3.096088  -0.474860   4.957540
##          |    0.0005*     0.0333    0.0000*    0.0026*     0.3187    0.0000*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -5.717316 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -10.75083 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        : -5.033518 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/2]  : -6.856981 (0.0000)*
## Calothrix [1] - Calothrix [1/2]         : -1.139664 (0.1370)
## Calothrix [1/16] - Calothrix [1/2]      :  3.893853 (0.0004)*
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.286032 (0.0017)*
## Calothrix [1] - Calothrix [1/4]         :  2.431284 (0.0127)*
## Calothrix [1/16] - Calothrix [1/4]      :  7.464802 (0.0000)*
## Calothrix [1/2] - Calothrix [1/4]       :  3.570948 (0.0008)*
## Azithromycin 50 mg/L - Calothrix [1/8]  : -8.718433 (0.0000)*
## Calothrix [1] - Calothrix [1/8]         : -3.001116 (0.0032)*
## Calothrix [1/16] - Calothrix [1/8]      :  2.032401 (0.0299)
## Calothrix [1/2] - Calothrix [1/8]       : -1.861452 (0.0385)
## Calothrix [1/4] - Calothrix [1/8]       : -5.432400 (0.0000)*
## Azithromycin 50 mg/L - Growth Control   : -3.760892 (0.0005)*
## Calothrix [1] - Growth Control          :  1.956424 (0.0333)
## Calothrix [1/16] - Growth Control       :  6.989942 (0.0000)*
## Calothrix [1/2] - Growth Control        :  3.096088 (0.0026)*
## Calothrix [1/4] - Growth Control        : -0.474860 (0.3187)
## Calothrix [1/8] - Growth Control        :  4.957540 (0.0000)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 20.6551, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -3.442710
##          |    0.0023*
##          |
## Calothri |  -5.262594  -1.819883
##          |    0.0000*     0.1139
##          |
## Calothri |  -4.057066  -0.614355   1.205528
##          |    0.0011*     0.4745     0.2241
##          |
## Calothri |  -3.987516  -0.544806   1.275077   0.069549
##          |    0.0009*     0.4416     0.2198     0.4961
##          |
## Calothri |  -3.616584  -0.173874   1.646009   0.440481   0.370931
##          |    0.0021*     0.5033     0.1251     0.4343     0.4401
##          |
## Growth C |  -3.489076  -0.046366   1.773517   0.567989   0.498439   0.127507
##          |    0.0024*     0.4816     0.1095     0.4629     0.4345     0.4969
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -3.442710 (0.0023)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -5.262594 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        : -1.819883 (0.1139)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.057066 (0.0011)*
## Calothrix [1] - Calothrix [1/2]         : -0.614355 (0.4745)
## Calothrix [1/16] - Calothrix [1/2]      :  1.205528 (0.2241)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.987516 (0.0009)*
## Calothrix [1] - Calothrix [1/4]         : -0.544806 (0.4416)
## Calothrix [1/16] - Calothrix [1/4]      :  1.275077 (0.2198)
## Calothrix [1/2] - Calothrix [1/4]       :  0.069549 (0.4961)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.616584 (0.0021)*
## Calothrix [1] - Calothrix [1/8]         : -0.173874 (0.5033)
## Calothrix [1/16] - Calothrix [1/8]      :  1.646009 (0.1251)
## Calothrix [1/2] - Calothrix [1/8]       :  0.440481 (0.4343)
## Calothrix [1/4] - Calothrix [1/8]       :  0.370931 (0.4401)
## Azithromycin 50 mg/L - Growth Control   : -3.489076 (0.0024)*
## Calothrix [1] - Growth Control          : -0.046366 (0.4816)
## Calothrix [1/16] - Growth Control       :  1.773517 (0.1095)
## Calothrix [1/2] - Growth Control        :  0.567989 (0.4629)
## Calothrix [1/4] - Growth Control        :  0.498439 (0.4345)
## Calothrix [1/8] - Growth Control        :  0.127507 (0.4969)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 25.4044, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -2.912729
##          |    0.0057*
##          |
## Calothri |   1.092273   4.005002
##          |     0.1762    0.0006*
##          |
## Calothri |   0.198595   3.111324  -0.893678
##          |     0.4218    0.0039*     0.2177
##          |
## Calothri |  -2.250745   0.661983  -3.343018  -2.449340
##          |    0.0209*     0.2744    0.0029*    0.0145*
##          |
## Growth C |  -5.362070  -2.449340  -6.454343  -5.560665  -3.111324
##          |    0.0000*    0.0161*    0.0000*    0.0000*    0.0045*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -2.912729 (0.0057)*
## Calothrix [1] - Calothrix [1/2]    :  1.092273 (0.1762)
## Calothrix [1/16] - Calothrix [1/2] :  4.005002 (0.0006)*
## Calothrix [1] - Calothrix [1/4]    :  0.198595 (0.4218)
## Calothrix [1/16] - Calothrix [1/4] :  3.111324 (0.0039)*
## Calothrix [1/2] - Calothrix [1/4]  : -0.893678 (0.2177)
## Calothrix [1] - Calothrix [1/8]    : -2.250745 (0.0209)*
## Calothrix [1/16] - Calothrix [1/8] :  0.661983 (0.2744)
## Calothrix [1/2] - Calothrix [1/8]  : -3.343018 (0.0029)*
## Calothrix [1/4] - Calothrix [1/8]  : -2.449340 (0.0145)*
## Calothrix [1] - Growth Control     : -5.362070 (0.0000)*
## Calothrix [1/16] - Growth Control  : -2.449340 (0.0161)*
## Calothrix [1/2] - Growth Control   : -6.454343 (0.0000)*
## Calothrix [1/4] - Growth Control   : -5.560665 (0.0000)*
## Calothrix [1/8] - Growth Control   : -3.111324 (0.0045)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 6.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.4357, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.379263
##          |     0.1469
##          |
## Calothri |  -0.281482   1.097781
##          |     0.3900     0.1906
##          |
## Calothri |  -0.619261   0.760002  -0.337778
##          |     0.3113     0.2826     0.3951
##          |
## Calothri |  -2.477044  -1.097781  -2.195562  -1.857783
##          |     0.0271     0.2097     0.0371     0.0669
##          |
## Growth C |  -4.785200  -3.405936  -4.503717  -4.165939  -2.308155
##          |    0.0002*    0.0031*    0.0003*    0.0005*     0.0336
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.379263 (0.1469)
## Calothrix [1] - Calothrix [1/2]    : -0.281482 (0.3900)
## Calothrix [1/16] - Calothrix [1/2] :  1.097781 (0.1906)
## Calothrix [1] - Calothrix [1/4]    : -0.619261 (0.3113)
## Calothrix [1/16] - Calothrix [1/4] :  0.760002 (0.2826)
## Calothrix [1/2] - Calothrix [1/4]  : -0.337778 (0.3951)
## Calothrix [1] - Calothrix [1/8]    : -2.477044 (0.0271)
## Calothrix [1/16] - Calothrix [1/8] : -1.097781 (0.2097)
## Calothrix [1/2] - Calothrix [1/8]  : -2.195562 (0.0371)
## Calothrix [1/4] - Calothrix [1/8]  : -1.857783 (0.0669)
## Calothrix [1] - Growth Control     : -4.785200 (0.0002)*
## Calothrix [1/16] - Growth Control  : -3.405936 (0.0031)*
## Calothrix [1/2] - Growth Control   : -4.503717 (0.0003)*
## Calothrix [1/4] - Growth Control   : -4.165939 (0.0005)*
## Calothrix [1/8] - Growth Control   : -2.308155 (0.0336)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 36.5878, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -7.284147
##          |    0.0000*
##          |
## Calothri |  -4.664724   2.619422
##          |    0.0000*    0.0075*
##          |
## Calothri |  -4.054722   3.229424   0.610002
##          |    0.0002*    0.0019*     0.2862
##          |
## Calothri |  -3.265307   4.018839   1.399417   0.789414
##          |    0.0019*    0.0002*     0.0986     0.2400
##          |
## Calothri |  -7.355912  -0.071764  -2.691187  -3.301189  -4.090604
##          |    0.0000*     0.4716    0.0067*    0.0019*    0.0003*
##          |
## Growth C |  -10.29827  -3.014129  -5.633552  -6.243554  -7.032969  -2.942364
##          |    0.0000*    0.0033*    0.0000*    0.0000*    0.0000*    0.0037*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -7.284147 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -4.664724 (0.0000)*
## Calothrix [1] - Calothrix [1/16]        :  2.619422 (0.0075)*
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.054722 (0.0002)*
## Calothrix [1] - Calothrix [1/2]         :  3.229424 (0.0019)*
## Calothrix [1/16] - Calothrix [1/2]      :  0.610002 (0.2862)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.265307 (0.0019)*
## Calothrix [1] - Calothrix [1/4]         :  4.018839 (0.0002)*
## Calothrix [1/16] - Calothrix [1/4]      :  1.399417 (0.0986)
## Calothrix [1/2] - Calothrix [1/4]       :  0.789414 (0.2400)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -7.355912 (0.0000)*
## Calothrix [1] - Calothrix [1/8]         : -0.071764 (0.4716)
## Calothrix [1/16] - Calothrix [1/8]      : -2.691187 (0.0067)*
## Calothrix [1/2] - Calothrix [1/8]       : -3.301189 (0.0019)*
## Calothrix [1/4] - Calothrix [1/8]       : -4.090604 (0.0003)*
## Azithromycin 50 mg/L - Growth Control   : -10.29827 (0.0000)*
## Calothrix [1] - Growth Control          : -3.014129 (0.0033)*
## Calothrix [1/16] - Growth Control       : -5.633552 (0.0000)*
## Calothrix [1/2] - Growth Control        : -6.243554 (0.0000)*
## Calothrix [1/4] - Growth Control        : -7.032969 (0.0000)*
## Calothrix [1/8] - Growth Control        : -2.942364 (0.0037)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 21.2715, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   2.207155
##          |     0.0422
##          |
## Calothri |   2.148298  -0.058857
##          |     0.0412     0.4767
##          |
## Calothri |   1.383150  -0.824004  -0.765147
##          |     0.1314     0.2596     0.2591
##          |
## Calothri |   0.235429  -1.971725  -1.912868  -1.147720
##          |     0.4367     0.0528     0.0531     0.1764
##          |
## Growth C |  -3.060589  -5.267744  -5.208887  -4.443739  -3.296019
##          |    0.0062*    0.0000*    0.0000*    0.0002*    0.0041*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  2.207155 (0.0422)
## Calothrix [1] - Calothrix [1/2]    :  2.148298 (0.0412)
## Calothrix [1/16] - Calothrix [1/2] : -0.058857 (0.4767)
## Calothrix [1] - Calothrix [1/4]    :  1.383150 (0.1314)
## Calothrix [1/16] - Calothrix [1/4] : -0.824004 (0.2596)
## Calothrix [1/2] - Calothrix [1/4]  : -0.765147 (0.2591)
## Calothrix [1] - Calothrix [1/8]    :  0.235429 (0.4367)
## Calothrix [1/16] - Calothrix [1/8] : -1.971725 (0.0528)
## Calothrix [1/2] - Calothrix [1/8]  : -1.912868 (0.0531)
## Calothrix [1/4] - Calothrix [1/8]  : -1.147720 (0.1764)
## Calothrix [1] - Growth Control     : -3.060589 (0.0062)*
## Calothrix [1/16] - Growth Control  : -5.267744 (0.0000)*
## Calothrix [1/2] - Growth Control   : -5.208887 (0.0000)*
## Calothrix [1/4] - Growth Control   : -4.443739 (0.0002)*
## Calothrix [1/8] - Growth Control   : -3.296019 (0.0041)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 34.1339, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -6.120268
##          |    0.0000*
##          |
## Calothri |  -2.799697   3.320571
##          |    0.0067*    0.0018*
##          |
## Calothri |  -5.111075   1.009193  -2.311377
##          |    0.0000*     0.1859    0.0208*
##          |
## Calothri |  -4.883192   1.237075  -2.083495   0.227882
##          |    0.0000*     0.1463     0.0303     0.4536
##          |
## Calothri |  -5.013411   1.106857  -2.213714   0.097663  -0.130218
##          |    0.0000*     0.1696    0.0242*     0.4613     0.4709
##          |
## Growth C |  -9.571057  -3.450789  -6.771360  -4.459982  -4.687865  -4.557646
##          |    0.0000*    0.0014*    0.0000*    0.0001*    0.0000*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -6.120268 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -2.799697 (0.0067)*
## Calothrix [1] - Calothrix [1/16]        :  3.320571 (0.0018)*
## Azithromycin 50 mg/L - Calothrix [1/2]  : -5.111075 (0.0000)*
## Calothrix [1] - Calothrix [1/2]         :  1.009193 (0.1859)
## Calothrix [1/16] - Calothrix [1/2]      : -2.311377 (0.0208)*
## Azithromycin 50 mg/L - Calothrix [1/4]  : -4.883192 (0.0000)*
## Calothrix [1] - Calothrix [1/4]         :  1.237075 (0.1463)
## Calothrix [1/16] - Calothrix [1/4]      : -2.083495 (0.0303)
## Calothrix [1/2] - Calothrix [1/4]       :  0.227882 (0.4536)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -5.013411 (0.0000)*
## Calothrix [1] - Calothrix [1/8]         :  1.106857 (0.1696)
## Calothrix [1/16] - Calothrix [1/8]      : -2.213714 (0.0242)*
## Calothrix [1/2] - Calothrix [1/8]       :  0.097663 (0.4613)
## Calothrix [1/4] - Calothrix [1/8]       : -0.130218 (0.4709)
## Azithromycin 50 mg/L - Growth Control   : -9.571057 (0.0000)*
## Calothrix [1] - Growth Control          : -3.450789 (0.0014)*
## Calothrix [1/16] - Growth Control       : -6.771360 (0.0000)*
## Calothrix [1/2] - Growth Control        : -4.459982 (0.0001)*
## Calothrix [1/4] - Growth Control        : -4.687865 (0.0000)*
## Calothrix [1/8] - Growth Control        : -4.557646 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 20.0755, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   2.600353
##          |    0.0168*
##          |
## Calothri |   0.771533  -1.828820
##          |     0.3341     0.0631
##          |
## Calothri |   0.742958  -1.857395  -0.028575
##          |     0.2890     0.0670     0.5236
##          |
## Calothri |   0.742958  -1.857395  -0.028575   0.000000
##          |     0.3152     0.0766     0.5639     0.5000
##          |
## Growth C |  -3.057558  -5.657912  -3.829092  -3.800517  -3.800517
##          |    0.0063*    0.0000*    0.0019*    0.0010*    0.0013*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  2.600353 (0.0168)*
## Calothrix [1] - Calothrix [1/2]    :  0.771533 (0.3341)
## Calothrix [1/16] - Calothrix [1/2] : -1.828820 (0.0631)
## Calothrix [1] - Calothrix [1/4]    :  0.742958 (0.2890)
## Calothrix [1/16] - Calothrix [1/4] : -1.857395 (0.0670)
## Calothrix [1/2] - Calothrix [1/4]  : -0.028575 (0.5236)
## Calothrix [1] - Calothrix [1/8]    :  0.742958 (0.3152)
## Calothrix [1/16] - Calothrix [1/8] : -1.857395 (0.0766)
## Calothrix [1/2] - Calothrix [1/8]  : -0.028575 (0.5639)
## Calothrix [1/4] - Calothrix [1/8]  :  0.000000 (0.5000)
## Calothrix [1] - Growth Control     : -3.057558 (0.0063)*
## Calothrix [1/16] - Growth Control  : -5.657912 (0.0000)*
## Calothrix [1/2] - Growth Control   : -3.829092 (0.0019)*
## Calothrix [1/4] - Growth Control   : -3.800517 (0.0010)*
## Calothrix [1/8] - Growth Control   : -3.800517 (0.0013)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 31.1622, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -4.992435
##          |    0.0000*
##          |
## Calothri |  -2.776857   2.215577
##          |    0.0078*     0.0260
##          |
## Calothri |  -4.844730   0.147705  -2.067872
##          |    0.0000*     0.4637     0.0336
##          |
## Calothri |  -5.051517  -0.059082  -2.274659  -0.206787
##          |    0.0000*     0.4766    0.0246*     0.4626
##          |
## Calothri |  -4.342532   0.649902  -1.565674   0.502197   0.708984
##          |    0.0002*     0.3207     0.0875     0.3606     0.3165
##          |
## Growth C |  -8.389654  -3.397219  -5.612797  -3.544924  -3.338137  -4.047122
##          |    0.0000*    0.0018*    0.0000*    0.0013*    0.0019*    0.0003*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -4.992435 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -2.776857 (0.0078)*
## Calothrix [1] - Calothrix [1/16]        :  2.215577 (0.0260)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.844730 (0.0000)*
## Calothrix [1] - Calothrix [1/2]         :  0.147705 (0.4637)
## Calothrix [1/16] - Calothrix [1/2]      : -2.067872 (0.0336)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -5.051517 (0.0000)*
## Calothrix [1] - Calothrix [1/4]         : -0.059082 (0.4766)
## Calothrix [1/16] - Calothrix [1/4]      : -2.274659 (0.0246)*
## Calothrix [1/2] - Calothrix [1/4]       : -0.206787 (0.4626)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -4.342532 (0.0002)*
## Calothrix [1] - Calothrix [1/8]         :  0.649902 (0.3207)
## Calothrix [1/16] - Calothrix [1/8]      : -1.565674 (0.0875)
## Calothrix [1/2] - Calothrix [1/8]       :  0.502197 (0.3606)
## Calothrix [1/4] - Calothrix [1/8]       :  0.708984 (0.3165)
## Azithromycin 50 mg/L - Growth Control   : -8.389654 (0.0000)*
## Calothrix [1] - Growth Control          : -3.397219 (0.0018)*
## Calothrix [1/16] - Growth Control       : -5.612797 (0.0000)*
## Calothrix [1/2] - Growth Control        : -3.544924 (0.0013)*
## Calothrix [1/4] - Growth Control        : -3.338137 (0.0019)*
## Calothrix [1/8] - Growth Control        : -4.047122 (0.0003)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 28.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.0389, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   2.454566
##          |    0.0238*
##          |
## Calothri |   0.948355  -1.506211
##          |     0.2620     0.1173
##          |
## Calothri |   0.920462  -1.534104  -0.027892
##          |     0.2478     0.1254     0.4890
##          |
## Calothri |   0.306820  -2.147745  -0.641534  -0.613641
##          |     0.4075     0.0413     0.3283     0.3134
##          |
## Growth C |  -2.872958  -5.327524  -3.821313  -3.793420  -3.179779
##          |    0.0102*    0.0000*    0.0019*    0.0014*    0.0057*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  2.454566 (0.0238)*
## Calothrix [1] - Calothrix [1/2]    :  0.948355 (0.2620)
## Calothrix [1/16] - Calothrix [1/2] : -1.506211 (0.1173)
## Calothrix [1] - Calothrix [1/4]    :  0.920462 (0.2478)
## Calothrix [1/16] - Calothrix [1/4] : -1.534104 (0.1254)
## Calothrix [1/2] - Calothrix [1/4]  : -0.027892 (0.4890)
## Calothrix [1] - Calothrix [1/8]    :  0.306820 (0.4075)
## Calothrix [1/16] - Calothrix [1/8] : -2.147745 (0.0413)
## Calothrix [1/2] - Calothrix [1/8]  : -0.641534 (0.3283)
## Calothrix [1/4] - Calothrix [1/8]  : -0.613641 (0.3134)
## Calothrix [1] - Growth Control     : -2.872958 (0.0102)*
## Calothrix [1/16] - Growth Control  : -5.327524 (0.0000)*
## Calothrix [1/2] - Growth Control   : -3.821313 (0.0019)*
## Calothrix [1/4] - Growth Control   : -3.793420 (0.0014)*
## Calothrix [1/8] - Growth Control   : -3.179779 (0.0057)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 30.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.0199, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   3.206286
##          |    0.0053*
##          |
## Calothri |   0.697018  -2.509267
##          |     0.3064    0.0209*
##          |
## Calothri |   0.975826  -2.230460   0.278807
##          |     0.2289     0.0300     0.4189
##          |
## Calothri |   1.115230  -2.091056   0.418211   0.139403
##          |     0.2041     0.0364     0.3913     0.4450
##          |
## Growth C |  -2.230460  -5.436746  -2.927478  -3.206286  -3.345690
##          |     0.0343    0.0000*    0.0088*    0.0070*    0.0072*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  3.206286 (0.0053)*
## Calothrix [1] - Calothrix [1/2]    :  0.697018 (0.3064)
## Calothrix [1/16] - Calothrix [1/2] : -2.509267 (0.0209)*
## Calothrix [1] - Calothrix [1/4]    :  0.975826 (0.2289)
## Calothrix [1/16] - Calothrix [1/4] : -2.230460 (0.0300)
## Calothrix [1/2] - Calothrix [1/4]  :  0.278807 (0.4189)
## Calothrix [1] - Calothrix [1/8]    :  1.115230 (0.2041)
## Calothrix [1/16] - Calothrix [1/8] : -2.091056 (0.0364)
## Calothrix [1/2] - Calothrix [1/8]  :  0.418211 (0.3913)
## Calothrix [1/4] - Calothrix [1/8]  :  0.139403 (0.4450)
## Calothrix [1] - Growth Control     : -2.230460 (0.0343)
## Calothrix [1/16] - Growth Control  : -5.436746 (0.0000)*
## Calothrix [1/2] - Growth Control   : -2.927478 (0.0088)*
## Calothrix [1/4] - Growth Control   : -3.206286 (0.0070)*
## Calothrix [1/8] - Growth Control   : -3.345690 (0.0072)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 0, df = 0, p-value = 1
## Error in Psort[1, i]: subscript out of bounds

S. saureus Inhibition

For S. saureus too, stored in the dataframe Calo_saur, we will perform looped Conover Post-Hoc Tests.

tiempo_levels <- unique(Calo_saur$tiempo)
# Initialize a list to store the test results
conover_results <- list()

# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
  # Subset data for the current level of tiempo
  data_subset <- Calo_saur[Calo_saur$tiempo == level, ]
  
  # Print the current level of tiempo
  cat("Conover test for tiempo:", level, "\n")
  
  # Perform Conover test
  conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
  
  # Store the result in the list
  conover_results[[as.character(level)]] <- conover_result
}
## Conover test for tiempo: 0 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 17.4398, df = 6, p-value = 0.01
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -2.939642
##          |    0.0186*
##          |
## Calothri |  -4.233962  -1.294320
##          |    0.0013*     0.1520
##          |
## Calothri |  -2.424107   0.515534   1.809854
##          |     0.0345     0.3552     0.1017
##          |
## Calothri |  -3.740365  -0.800723   0.493596  -1.316257
##          |    0.0029*     0.2642     0.3449     0.1577
##          |
## Calothri |  -2.895766   0.043875   1.338195  -0.471659   0.844598
##          |    0.0157*     0.4826     0.1795     0.3358     0.2645
##          |
## Growth C |  -1.579509   1.360132   2.654452   0.844598   2.160856   1.316257
##          |     0.1420     0.1901    0.0235*     0.2822     0.0547     0.1708
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -2.939642 (0.0186)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -4.233962 (0.0013)*
## Calothrix [1] - Calothrix [1/16]        : -1.294320 (0.1520)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -2.424107 (0.0345)
## Calothrix [1] - Calothrix [1/2]         :  0.515534 (0.3552)
## Calothrix [1/16] - Calothrix [1/2]      :  1.809854 (0.1017)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.740365 (0.0029)*
## Calothrix [1] - Calothrix [1/4]         : -0.800723 (0.2642)
## Calothrix [1/16] - Calothrix [1/4]      :  0.493596 (0.3449)
## Calothrix [1/2] - Calothrix [1/4]       : -1.316257 (0.1577)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -2.895766 (0.0157)*
## Calothrix [1] - Calothrix [1/8]         :  0.043875 (0.4826)
## Calothrix [1/16] - Calothrix [1/8]      :  1.338195 (0.1795)
## Calothrix [1/2] - Calothrix [1/8]       : -0.471659 (0.3358)
## Calothrix [1/4] - Calothrix [1/8]       :  0.844598 (0.2645)
## Azithromycin 50 mg/L - Growth Control   : -1.579509 (0.1420)
## Calothrix [1] - Growth Control          :  1.360132 (0.1901)
## Calothrix [1/16] - Growth Control       :  2.654452 (0.0235)*
## Calothrix [1/2] - Growth Control        :  0.844598 (0.2822)
## Calothrix [1/4] - Growth Control        :  2.160856 (0.0547)
## Calothrix [1/8] - Growth Control        :  1.316257 (0.1708)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.6722, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -4.896914
##          |    0.0002*
##          |
## Calothri |  -3.405063   1.491850
##          |    0.0031*     0.1880
##          |
## Calothri |  -4.099742   0.797172  -0.694678
##          |    0.0010*     0.3224     0.3223
##          |
## Calothri |  -3.723932   1.172981  -0.318868   0.375809
##          |    0.0020*     0.2362     0.4153     0.4136
##          |
## Calothri |  -3.496168   1.400745  -0.091105   0.603573   0.227763
##          |    0.0030*     0.1771     0.4639     0.3393     0.4310
##          |
## Growth C |  -2.698996   2.197917   0.706066   1.400745   1.024935   0.797172
##          |    0.0175*     0.0503     0.3388     0.1967     0.2724     0.3472
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -4.896914 (0.0002)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.405063 (0.0031)*
## Calothrix [1] - Calothrix [1/16]        :  1.491850 (0.1880)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.099742 (0.0010)*
## Calothrix [1] - Calothrix [1/2]         :  0.797172 (0.3224)
## Calothrix [1/16] - Calothrix [1/2]      : -0.694678 (0.3223)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.723932 (0.0020)*
## Calothrix [1] - Calothrix [1/4]         :  1.172981 (0.2362)
## Calothrix [1/16] - Calothrix [1/4]      : -0.318868 (0.4153)
## Calothrix [1/2] - Calothrix [1/4]       :  0.375809 (0.4136)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.496168 (0.0030)*
## Calothrix [1] - Calothrix [1/8]         :  1.400745 (0.1771)
## Calothrix [1/16] - Calothrix [1/8]      : -0.091105 (0.4639)
## Calothrix [1/2] - Calothrix [1/8]       :  0.603573 (0.3393)
## Calothrix [1/4] - Calothrix [1/8]       :  0.227763 (0.4310)
## Azithromycin 50 mg/L - Growth Control   : -2.698996 (0.0175)*
## Calothrix [1] - Growth Control          :  2.197917 (0.0503)
## Calothrix [1/16] - Growth Control       :  0.706066 (0.3388)
## Calothrix [1/2] - Growth Control        :  1.400745 (0.1967)
## Calothrix [1/4] - Growth Control        :  1.024935 (0.2724)
## Calothrix [1/8] - Growth Control        :  0.797172 (0.3472)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 10.0271, df = 5, p-value = 0.07
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.362246
##          |     0.1946
##          |
## Calothri |   0.375792  -0.986454
##          |     0.4433     0.2253
##          |
## Calothri |   1.362246   0.000000   0.986454
##          |     0.2270     0.5000     0.2479
##          |
## Calothri |   1.385733   0.023487   1.009941   0.023487
##          |     0.2615     0.5257     0.2661     0.5662
##          |
## Growth C |  -1.315272  -2.677519  -1.691064  -2.677519  -2.701006
##          |     0.1844     0.0278     0.1865     0.0416     0.0785
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.362246 (0.1946)
## Calothrix [1] - Calothrix [1/2]    :  0.375792 (0.4433)
## Calothrix [1/16] - Calothrix [1/2] : -0.986454 (0.2253)
## Calothrix [1] - Calothrix [1/4]    :  1.362246 (0.2270)
## Calothrix [1/16] - Calothrix [1/4] :  0.000000 (0.5000)
## Calothrix [1/2] - Calothrix [1/4]  :  0.986454 (0.2479)
## Calothrix [1] - Calothrix [1/8]    :  1.385733 (0.2615)
## Calothrix [1/16] - Calothrix [1/8] :  0.023487 (0.5257)
## Calothrix [1/2] - Calothrix [1/8]  :  1.009941 (0.2661)
## Calothrix [1/4] - Calothrix [1/8]  :  0.023487 (0.5662)
## Calothrix [1] - Growth Control     : -1.315272 (0.1844)
## Calothrix [1/16] - Growth Control  : -2.677519 (0.0278)
## Calothrix [1/2] - Growth Control   : -1.691064 (0.1865)
## Calothrix [1/4] - Growth Control   : -2.677519 (0.0416)
## Calothrix [1/8] - Growth Control   : -2.701006 (0.0785)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 6.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 18.7847, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.206472
##          |     0.1963
##          |
## Calothri |  -0.291217   0.915255
##          |     0.3863     0.2496
##          |
## Calothri |  -0.748845   0.457627  -0.457627
##          |     0.2868     0.3750     0.3482
##          |
## Calothri |  -2.288138  -1.081665  -1.996920  -1.539293
##          |     0.0351     0.2149     0.0573     0.1242
##          |
## Growth C |  -4.701084  -3.494611  -4.409866  -3.952238  -2.412945
##          |    0.0003*    0.0024*    0.0003*    0.0009*     0.0316
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.206472 (0.1963)
## Calothrix [1] - Calothrix [1/2]    : -0.291217 (0.3863)
## Calothrix [1/16] - Calothrix [1/2] :  0.915255 (0.2496)
## Calothrix [1] - Calothrix [1/4]    : -0.748845 (0.2868)
## Calothrix [1/16] - Calothrix [1/4] :  0.457627 (0.3750)
## Calothrix [1/2] - Calothrix [1/4]  : -0.457627 (0.3482)
## Calothrix [1] - Calothrix [1/8]    : -2.288138 (0.0351)
## Calothrix [1/16] - Calothrix [1/8] : -1.081665 (0.2149)
## Calothrix [1/2] - Calothrix [1/8]  : -1.996920 (0.0573)
## Calothrix [1/4] - Calothrix [1/8]  : -1.539293 (0.1242)
## Calothrix [1] - Growth Control     : -4.701084 (0.0003)*
## Calothrix [1/16] - Growth Control  : -3.494611 (0.0024)*
## Calothrix [1/2] - Growth Control   : -4.409866 (0.0003)*
## Calothrix [1/4] - Growth Control   : -3.952238 (0.0009)*
## Calothrix [1/8] - Growth Control   : -2.412945 (0.0316)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 31.1118, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -5.102971
##          |    0.0000*
##          |
## Calothri |  -3.923093   1.179877
##          |    0.0004*     0.1976
##          |
## Calothri |  -4.631019   0.471951  -0.707926
##          |    0.0001*     0.3730     0.3169
##          |
## Calothri |  -4.129571   0.973399  -0.206478   0.501448
##          |    0.0003*     0.2519     0.4396     0.3821
##          |
## Calothri |  -3.893596   1.209374   0.029496   0.737423   0.235975
##          |    0.0004*     0.2041     0.4883     0.3255     0.4502
##          |
## Growth C |  -8.672101  -3.569130  -4.749007  -4.041081  -4.542529  -4.778504
##          |    0.0000*    0.0009*    0.0001*    0.0003*    0.0001*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -5.102971 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.923093 (0.0004)*
## Calothrix [1] - Calothrix [1/16]        :  1.179877 (0.1976)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -4.631019 (0.0001)*
## Calothrix [1] - Calothrix [1/2]         :  0.471951 (0.3730)
## Calothrix [1/16] - Calothrix [1/2]      : -0.707926 (0.3169)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -4.129571 (0.0003)*
## Calothrix [1] - Calothrix [1/4]         :  0.973399 (0.2519)
## Calothrix [1/16] - Calothrix [1/4]      : -0.206478 (0.4396)
## Calothrix [1/2] - Calothrix [1/4]       :  0.501448 (0.3821)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -3.893596 (0.0004)*
## Calothrix [1] - Calothrix [1/8]         :  1.209374 (0.2041)
## Calothrix [1/16] - Calothrix [1/8]      :  0.029496 (0.4883)
## Calothrix [1/2] - Calothrix [1/8]       :  0.737423 (0.3255)
## Calothrix [1/4] - Calothrix [1/8]       :  0.235975 (0.4502)
## Azithromycin 50 mg/L - Growth Control   : -8.672101 (0.0000)*
## Calothrix [1] - Growth Control          : -3.569130 (0.0009)*
## Calothrix [1/16] - Growth Control       : -4.749007 (0.0001)*
## Calothrix [1/2] - Growth Control        : -4.041081 (0.0003)*
## Calothrix [1/4] - Growth Control        : -4.542529 (0.0001)*
## Calothrix [1/8] - Growth Control        : -4.778504 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 15.9065, df = 5, p-value = 0.01
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.808909
##          |     0.4542
##          |
## Calothri |  -0.026093  -0.835003
##          |     0.4897     0.5115
##          |
## Calothri |   0.052187  -0.756722   0.078281
##          |     0.5992     0.3785     0.7035
##          |
## Calothri |   0.026093  -0.782815   0.052187  -0.026093
##          |     0.5246     0.4114     0.6536     0.5650
##          |
## Growth C |  -3.444389  -4.253299  -3.418296  -3.496577  -3.470483
##          |    0.0028*    0.0011*    0.0024*    0.0048*    0.0034*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.808909 (0.4542)
## Calothrix [1] - Calothrix [1/2]    : -0.026093 (0.4897)
## Calothrix [1/16] - Calothrix [1/2] : -0.835003 (0.5115)
## Calothrix [1] - Calothrix [1/4]    :  0.052187 (0.5992)
## Calothrix [1/16] - Calothrix [1/4] : -0.756722 (0.3785)
## Calothrix [1/2] - Calothrix [1/4]  :  0.078281 (0.7035)
## Calothrix [1] - Calothrix [1/8]    :  0.026093 (0.5246)
## Calothrix [1/16] - Calothrix [1/8] : -0.782815 (0.4114)
## Calothrix [1/2] - Calothrix [1/8]  :  0.052187 (0.6536)
## Calothrix [1/4] - Calothrix [1/8]  : -0.026093 (0.5650)
## Calothrix [1] - Growth Control     : -3.444389 (0.0028)*
## Calothrix [1/16] - Growth Control  : -4.253299 (0.0011)*
## Calothrix [1/2] - Growth Control   : -3.418296 (0.0024)*
## Calothrix [1/4] - Growth Control   : -3.496577 (0.0048)*
## Calothrix [1/8] - Growth Control   : -3.470483 (0.0034)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 26.2768, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -4.395456
##          |    0.0004*
##          |
## Calothri |  -3.329103   1.066353
##          |    0.0027*     0.2558
##          |
## Calothri |  -3.667215   0.728241  -0.338112
##          |    0.0014*     0.3294     0.4299
##          |
## Calothri |  -4.213396   0.182060  -0.884293  -0.546181
##          |    0.0005*     0.4496     0.3082     0.3858
##          |
## Calothri |  -4.187387   0.208068  -0.858284  -0.520172   0.026008
##          |    0.0004*     0.4621     0.2967     0.3741     0.4897
##          |
## Growth C |  -6.970310  -2.574853  -3.641206  -3.303094  -2.756913  -2.782922
##          |    0.0000*    0.0130*    0.0013*    0.0026*    0.0090*    0.0094*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -4.395456 (0.0004)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.329103 (0.0027)*
## Calothrix [1] - Calothrix [1/16]        :  1.066353 (0.2558)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -3.667215 (0.0014)*
## Calothrix [1] - Calothrix [1/2]         :  0.728241 (0.3294)
## Calothrix [1/16] - Calothrix [1/2]      : -0.338112 (0.4299)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -4.213396 (0.0005)*
## Calothrix [1] - Calothrix [1/4]         :  0.182060 (0.4496)
## Calothrix [1/16] - Calothrix [1/4]      : -0.884293 (0.3082)
## Calothrix [1/2] - Calothrix [1/4]       : -0.546181 (0.3858)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -4.187387 (0.0004)*
## Calothrix [1] - Calothrix [1/8]         :  0.208068 (0.4621)
## Calothrix [1/16] - Calothrix [1/8]      : -0.858284 (0.2967)
## Calothrix [1/2] - Calothrix [1/8]       : -0.520172 (0.3741)
## Calothrix [1/4] - Calothrix [1/8]       :  0.026008 (0.4897)
## Azithromycin 50 mg/L - Growth Control   : -6.970310 (0.0000)*
## Calothrix [1] - Growth Control          : -2.574853 (0.0130)*
## Calothrix [1/16] - Growth Control       : -3.641206 (0.0013)*
## Calothrix [1/2] - Growth Control        : -3.303094 (0.0026)*
## Calothrix [1/4] - Growth Control        : -2.756913 (0.0090)*
## Calothrix [1/8] - Growth Control        : -2.782922 (0.0094)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 16.6876, df = 5, p-value = 0.01
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.617159
##          |     0.1432
##          |
## Calothri |   0.410917  -1.206241
##          |     0.4661     0.2209
##          |
## Calothri |   0.357895  -1.259263  -0.053021
##          |     0.4516     0.2315     0.4790
##          |
## Calothri |   0.556726  -1.060432   0.145809   0.198831
##          |     0.4359     0.2467     0.4740     0.4866
##          |
## Growth C |  -3.022232  -4.639391  -3.433149  -3.380128  -3.578959
##          |    0.0069*    0.0003*    0.0038*    0.0033*    0.0038*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.617159 (0.1432)
## Calothrix [1] - Calothrix [1/2]    :  0.410917 (0.4661)
## Calothrix [1/16] - Calothrix [1/2] : -1.206241 (0.2209)
## Calothrix [1] - Calothrix [1/4]    :  0.357895 (0.4516)
## Calothrix [1/16] - Calothrix [1/4] : -1.259263 (0.2315)
## Calothrix [1/2] - Calothrix [1/4]  : -0.053021 (0.4790)
## Calothrix [1] - Calothrix [1/8]    :  0.556726 (0.4359)
## Calothrix [1/16] - Calothrix [1/8] : -1.060432 (0.2467)
## Calothrix [1/2] - Calothrix [1/8]  :  0.145809 (0.4740)
## Calothrix [1/4] - Calothrix [1/8]  :  0.198831 (0.4866)
## Calothrix [1] - Growth Control     : -3.022232 (0.0069)*
## Calothrix [1/16] - Growth Control  : -4.639391 (0.0003)*
## Calothrix [1/2] - Growth Control   : -3.433149 (0.0038)*
## Calothrix [1/4] - Growth Control   : -3.380128 (0.0033)*
## Calothrix [1/8] - Growth Control   : -3.578959 (0.0038)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 25.5337, df = 6, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Azithrom   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+------------------------------------------------------------------
## Calothri |  -3.912952
##          |    0.0009*
##          |
## Calothri |  -3.682778   0.230173
##          |    0.0011*     0.6143
##          |
## Calothri |  -3.938527  -0.025574  -0.255748
##          |    0.0011*     0.4899     0.6457
##          |
## Calothri |  -3.887377   0.025574  -0.204598   0.051149
##          |    0.0007*     0.5144     0.5872     0.5302
##          |
## Calothri |  -4.040826  -0.127874  -0.358047  -0.102299  -0.153449
##          |    0.0012*     0.5552     0.6318     0.5361     0.5767
##          |
## Growth C |  -6.854060  -2.941108  -3.171281  -2.915533  -2.966683  -2.813233
##          |    0.0000*    0.0062*    0.0043*    0.0060*    0.0065*    0.0071*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1]    : -3.912952 (0.0009)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.682778 (0.0011)*
## Calothrix [1] - Calothrix [1/16]        :  0.230173 (0.6143)
## Azithromycin 50 mg/L - Calothrix [1/2]  : -3.938527 (0.0011)*
## Calothrix [1] - Calothrix [1/2]         : -0.025574 (0.4899)
## Calothrix [1/16] - Calothrix [1/2]      : -0.255748 (0.6457)
## Azithromycin 50 mg/L - Calothrix [1/4]  : -3.887377 (0.0007)*
## Calothrix [1] - Calothrix [1/4]         :  0.025574 (0.5144)
## Calothrix [1/16] - Calothrix [1/4]      : -0.204598 (0.5872)
## Calothrix [1/2] - Calothrix [1/4]       :  0.051149 (0.5302)
## Azithromycin 50 mg/L - Calothrix [1/8]  : -4.040826 (0.0012)*
## Calothrix [1] - Calothrix [1/8]         : -0.127874 (0.5552)
## Calothrix [1/16] - Calothrix [1/8]      : -0.358047 (0.6318)
## Calothrix [1/2] - Calothrix [1/8]       : -0.102299 (0.5361)
## Calothrix [1/4] - Calothrix [1/8]       : -0.153449 (0.5767)
## Azithromycin 50 mg/L - Growth Control   : -6.854060 (0.0000)*
## Calothrix [1] - Growth Control          : -2.941108 (0.0062)*
## Calothrix [1/16] - Growth Control       : -3.171281 (0.0043)*
## Calothrix [1/2] - Growth Control        : -2.915533 (0.0060)*
## Calothrix [1/4] - Growth Control        : -2.966683 (0.0065)*
## Calothrix [1/8] - Growth Control        : -2.813233 (0.0071)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 28.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 8.5349, df = 5, p-value = 0.13
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.229409
##          |     0.5124
##          |
## Calothri |   0.458818   0.229409
##          |     0.4868     0.4730
##          |
## Calothri |   0.986458   0.757049   0.527640
##          |     0.4131     0.4864     0.5008
##          |
## Calothri |   0.367054   0.137645  -0.091763  -0.619404
##          |     0.4880     0.4775     0.4637     0.5058
##          |
## Growth C |  -1.835272  -2.064681  -2.294090  -2.821731  -2.202326
##          |     0.1121     0.0867     0.1040     0.0580     0.0853
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.229409 (0.5124)
## Calothrix [1] - Calothrix [1/2]    :  0.458818 (0.4868)
## Calothrix [1/16] - Calothrix [1/2] :  0.229409 (0.4730)
## Calothrix [1] - Calothrix [1/4]    :  0.986458 (0.4131)
## Calothrix [1/16] - Calothrix [1/4] :  0.757049 (0.4864)
## Calothrix [1/2] - Calothrix [1/4]  :  0.527640 (0.5008)
## Calothrix [1] - Calothrix [1/8]    :  0.367054 (0.4880)
## Calothrix [1/16] - Calothrix [1/8] :  0.137645 (0.4775)
## Calothrix [1/2] - Calothrix [1/8]  : -0.091763 (0.4637)
## Calothrix [1/4] - Calothrix [1/8]  : -0.619404 (0.5058)
## Calothrix [1] - Growth Control     : -1.835272 (0.1121)
## Calothrix [1/16] - Growth Control  : -2.064681 (0.0867)
## Calothrix [1/2] - Growth Control   : -2.294090 (0.1040)
## Calothrix [1/4] - Growth Control   : -2.821731 (0.0580)
## Calothrix [1/8] - Growth Control   : -2.202326 (0.0853)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 30.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 6.7864, df = 5, p-value = 0.24
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.050310
##          |     0.3220
##          |
## Calothri |   1.117351   0.067041
##          |     0.3391     0.4735
##          |
## Calothri |   1.631333   0.581022   0.513981
##          |     0.2091     0.3851     0.3815
##          |
## Calothri |   0.715104  -0.335205  -0.402246  -0.916228
##          |     0.3993     0.3961     0.3980     0.3428
##          |
## Growth C |  -0.692757  -1.743068  -1.810109  -2.324090  -1.407862
##          |     0.3697     0.2246     0.2949     0.1941     0.2516
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.050310 (0.3220)
## Calothrix [1] - Calothrix [1/2]    :  1.117351 (0.3391)
## Calothrix [1/16] - Calothrix [1/2] :  0.067041 (0.4735)
## Calothrix [1] - Calothrix [1/4]    :  1.631333 (0.2091)
## Calothrix [1/16] - Calothrix [1/4] :  0.581022 (0.3851)
## Calothrix [1/2] - Calothrix [1/4]  :  0.513981 (0.3815)
## Calothrix [1] - Calothrix [1/8]    :  0.715104 (0.3993)
## Calothrix [1/16] - Calothrix [1/8] : -0.335205 (0.3961)
## Calothrix [1/2] - Calothrix [1/8]  : -0.402246 (0.3980)
## Calothrix [1/4] - Calothrix [1/8]  : -0.916228 (0.3428)
## Calothrix [1] - Growth Control     : -0.692757 (0.3697)
## Calothrix [1/16] - Growth Control  : -1.743068 (0.2246)
## Calothrix [1/2] - Growth Control   : -1.810109 (0.2949)
## Calothrix [1/4] - Growth Control   : -2.324090 (0.1941)
## Calothrix [1/8] - Growth Control   : -1.407862 (0.2516)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 0, df = 0, p-value = 1
## Error in Psort[1, i]: subscript out of bounds

Candida Inhibition

For Candida too, stored in the dataframe Calbi2, we will perform looped Conover Post-Hoc Tests.

tiempo_levels <- unique(Calbi2$tiempo)
# Initialize a list to store the test results
conover_results <- list()

# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
  # Subset data for the current level of tiempo
  data_subset <- Calbi2[Calbi2$tiempo == level, ]
  
  # Print the current level of tiempo
  cat("Conover test for tiempo:", level, "\n")
  
  # Perform Conover test
  conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
  
  # Store the result in the list
  conover_results[[as.character(level)]] <- conover_result
}
## Conover test for tiempo: 0 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 14.1425, df = 5, p-value = 0.01
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.176614
##          |     0.4966
##          |
## Calothri |  -0.201844  -0.378458
##          |     0.5257     0.5894
##          |
## Calothri |  -0.555072  -0.731686  -0.353228
##          |     0.5459     0.5864     0.5445
##          |
## Calothri |   0.025230  -0.151383   0.227075   0.580303
##          |     0.4900     0.4717     0.5602     0.6057
##          |
## Growth C |   3.204283   3.027669   3.406128   3.759356   3.179053
##          |    0.0071*    0.0068*    0.0061*    0.0045*    0.0057*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.176614 (0.4966)
## Calothrix [1] - Calothrix [1/2]    : -0.201844 (0.5257)
## Calothrix [1/16] - Calothrix [1/2] : -0.378458 (0.5894)
## Calothrix [1] - Calothrix [1/4]    : -0.555072 (0.5459)
## Calothrix [1/16] - Calothrix [1/4] : -0.731686 (0.5864)
## Calothrix [1/2] - Calothrix [1/4]  : -0.353228 (0.5445)
## Calothrix [1] - Calothrix [1/8]    :  0.025230 (0.4900)
## Calothrix [1/16] - Calothrix [1/8] : -0.151383 (0.4717)
## Calothrix [1/2] - Calothrix [1/8]  :  0.227075 (0.5602)
## Calothrix [1/4] - Calothrix [1/8]  :  0.580303 (0.6057)
## Calothrix [1] - Growth Control     :  3.204283 (0.0071)*
## Calothrix [1/16] - Growth Control  :  3.027669 (0.0068)*
## Calothrix [1/2] - Growth Control   :  3.406128 (0.0061)*
## Calothrix [1/4] - Growth Control   :  3.759356 (0.0045)*
## Calothrix [1/8] - Growth Control   :  3.179053 (0.0057)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 13.3664, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.982472
##          |     0.4155
##          |
## Calothri |   0.634254  -0.348218
##          |     0.5678     0.4561
##          |
## Calothri |   0.447709  -0.534763  -0.186545
##          |     0.4928     0.4968     0.4570
##          |
## Calothri |   0.360654  -0.621818  -0.273599  -0.087054
##          |     0.4912     0.5044     0.4534     0.4656
##          |
## Growth C |   3.618981   2.636508   2.984726   3.171272   3.258326
##          |    0.0068*    0.0184*    0.0095*    0.0077*    0.0092*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.982472 (0.4155)
## Calothrix [1] - Calothrix [1/2]    :  0.634254 (0.5678)
## Calothrix [1/16] - Calothrix [1/2] : -0.348218 (0.4561)
## Calothrix [1] - Calothrix [1/4]    :  0.447709 (0.4928)
## Calothrix [1/16] - Calothrix [1/4] : -0.534763 (0.4968)
## Calothrix [1/2] - Calothrix [1/4]  : -0.186545 (0.4570)
## Calothrix [1] - Calothrix [1/8]    :  0.360654 (0.4912)
## Calothrix [1/16] - Calothrix [1/8] : -0.621818 (0.5044)
## Calothrix [1/2] - Calothrix [1/8]  : -0.273599 (0.4534)
## Calothrix [1/4] - Calothrix [1/8]  : -0.087054 (0.4656)
## Calothrix [1] - Growth Control     :  3.618981 (0.0068)*
## Calothrix [1/16] - Growth Control  :  2.636508 (0.0184)*
## Calothrix [1/2] - Growth Control   :  2.984726 (0.0095)*
## Calothrix [1/4] - Growth Control   :  3.171272 (0.0077)*
## Calothrix [1/8] - Growth Control   :  3.258326 (0.0092)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 2 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 11.1265, df = 5, p-value = 0.05
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.590689
##          |     0.1505
##          |
## Calothri |   1.112286  -0.478402
##          |     0.2563     0.3970
##          |
## Calothri |   0.741524  -0.849165  -0.370762
##          |     0.3158     0.3345     0.3820
##          |
## Calothri |   1.506969  -0.083720   0.394682   0.765444
##          |     0.1506     0.4669     0.4012     0.3367
##          |
## Growth C |   3.444500   1.853811   2.332214   2.702976   1.937531
##          |    0.0110*     0.1080     0.0635     0.0391     0.1135
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.590689 (0.1505)
## Calothrix [1] - Calothrix [1/2]    :  1.112286 (0.2563)
## Calothrix [1/16] - Calothrix [1/2] : -0.478402 (0.3970)
## Calothrix [1] - Calothrix [1/4]    :  0.741524 (0.3158)
## Calothrix [1/16] - Calothrix [1/4] : -0.849165 (0.3345)
## Calothrix [1/2] - Calothrix [1/4]  : -0.370762 (0.3820)
## Calothrix [1] - Calothrix [1/8]    :  1.506969 (0.1506)
## Calothrix [1/16] - Calothrix [1/8] : -0.083720 (0.4669)
## Calothrix [1/2] - Calothrix [1/8]  :  0.394682 (0.4012)
## Calothrix [1/4] - Calothrix [1/8]  :  0.765444 (0.3367)
## Calothrix [1] - Growth Control     :  3.444500 (0.0110)*
## Calothrix [1/16] - Growth Control  :  1.853811 (0.1080)
## Calothrix [1/2] - Growth Control   :  2.332214 (0.0635)
## Calothrix [1/4] - Growth Control   :  2.702976 (0.0391)
## Calothrix [1/8] - Growth Control   :  1.937531 (0.1135)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 7.9371, df = 5, p-value = 0.16
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   2.125838
##          |     0.1517
##          |
## Calothri |   0.773032  -1.352806
##          |     0.3031     0.2307
##          |
## Calothri |   1.034499  -1.091339   0.261466
##          |     0.2565     0.2647     0.4260
##          |
## Calothri |   1.148180  -0.977658   0.375148   0.113681
##          |     0.2769     0.2511     0.4095     0.4551
##          |
## Growth C |   2.557827   0.431988   1.784795   1.523328   1.409647
##          |     0.1117     0.4177     0.2068     0.2558     0.2508
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  2.125838 (0.1517)
## Calothrix [1] - Calothrix [1/2]    :  0.773032 (0.3031)
## Calothrix [1/16] - Calothrix [1/2] : -1.352806 (0.2307)
## Calothrix [1] - Calothrix [1/4]    :  1.034499 (0.2565)
## Calothrix [1/16] - Calothrix [1/4] : -1.091339 (0.2647)
## Calothrix [1/2] - Calothrix [1/4]  :  0.261466 (0.4260)
## Calothrix [1] - Calothrix [1/8]    :  1.148180 (0.2769)
## Calothrix [1/16] - Calothrix [1/8] : -0.977658 (0.2511)
## Calothrix [1/2] - Calothrix [1/8]  :  0.375148 (0.4095)
## Calothrix [1/4] - Calothrix [1/8]  :  0.113681 (0.4551)
## Calothrix [1] - Growth Control     :  2.557827 (0.1117)
## Calothrix [1/16] - Growth Control  :  0.431988 (0.4177)
## Calothrix [1/2] - Growth Control   :  1.784795 (0.2068)
## Calothrix [1/4] - Growth Control   :  1.523328 (0.2558)
## Calothrix [1/8] - Growth Control   :  1.409647 (0.2508)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 4 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 10.4957, df = 5, p-value = 0.06
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   2.426134
##          |     0.0765
##          |
## Calothri |  -0.295870  -2.722004
##          |     0.3845     0.0745
##          |
## Calothri |   0.556235  -1.869898   0.852105
##          |     0.3355     0.1045     0.2726
##          |
## Calothri |   1.242654  -1.183480   1.538524   0.686418
##          |     0.2082     0.2036     0.1421     0.3105
##          |
## Growth C |   2.106594  -0.319539   2.402465   1.550359   0.863940
##          |     0.0791     0.4024     0.0539     0.1623     0.2950
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  2.426134 (0.0765)
## Calothrix [1] - Calothrix [1/2]    : -0.295870 (0.3845)
## Calothrix [1/16] - Calothrix [1/2] : -2.722004 (0.0745)
## Calothrix [1] - Calothrix [1/4]    :  0.556235 (0.3355)
## Calothrix [1/16] - Calothrix [1/4] : -1.869898 (0.1045)
## Calothrix [1/2] - Calothrix [1/4]  :  0.852105 (0.2726)
## Calothrix [1] - Calothrix [1/8]    :  1.242654 (0.2082)
## Calothrix [1/16] - Calothrix [1/8] : -1.183480 (0.2036)
## Calothrix [1/2] - Calothrix [1/8]  :  1.538524 (0.1421)
## Calothrix [1/4] - Calothrix [1/8]  :  0.686418 (0.3105)
## Calothrix [1] - Growth Control     :  2.106594 (0.0791)
## Calothrix [1/16] - Growth Control  : -0.319539 (0.4024)
## Calothrix [1/2] - Growth Control   :  2.402465 (0.0539)
## Calothrix [1/4] - Growth Control   :  1.550359 (0.1623)
## Calothrix [1/8] - Growth Control   :  0.863940 (0.2950)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 8.4166, df = 5, p-value = 0.13
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.889340
##          |     0.1673
##          |
## Calothri |  -0.458021  -2.347362
##          |     0.4061     0.1839
##          |
## Calothri |   0.171758  -1.717582   0.629780
##          |     0.4323     0.1771     0.3633
##          |
## Calothri |   1.614527  -0.274813   2.072549   1.442769
##          |     0.1439     0.4206     0.1704     0.1690
##          |
## Growth C |   1.248109  -0.641230   1.706131   1.076351  -0.366417
##          |     0.2063     0.3941     0.1449     0.2408     0.4132
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.889340 (0.1673)
## Calothrix [1] - Calothrix [1/2]    : -0.458021 (0.4061)
## Calothrix [1/16] - Calothrix [1/2] : -2.347362 (0.1839)
## Calothrix [1] - Calothrix [1/4]    :  0.171758 (0.4323)
## Calothrix [1/16] - Calothrix [1/4] : -1.717582 (0.1771)
## Calothrix [1/2] - Calothrix [1/4]  :  0.629780 (0.3633)
## Calothrix [1] - Calothrix [1/8]    :  1.614527 (0.1439)
## Calothrix [1/16] - Calothrix [1/8] : -0.274813 (0.4206)
## Calothrix [1/2] - Calothrix [1/8]  :  2.072549 (0.1704)
## Calothrix [1/4] - Calothrix [1/8]  :  1.442769 (0.1690)
## Calothrix [1] - Growth Control     :  1.248109 (0.2063)
## Calothrix [1/16] - Growth Control  : -0.641230 (0.3941)
## Calothrix [1/2] - Growth Control   :  1.706131 (0.1449)
## Calothrix [1/4] - Growth Control   :  1.076351 (0.2408)
## Calothrix [1/8] - Growth Control   : -0.366417 (0.4132)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 16 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 17.8002, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.967580
##          |     0.0609
##          |
## Calothri |  -2.103275  -0.135695
##          |     0.0531     0.4783
##          |
## Calothri |  -3.202407  -1.234826  -1.099131
##          |    0.0071*     0.1533     0.1610
##          |
## Calothri |  -3.215976  -1.248396  -1.112700  -0.013569
##          |    0.0103*     0.1650     0.1708     0.4946
##          |
## Growth C |  -4.980014  -3.012433  -2.876738  -1.777607  -1.764037
##          |    0.0001*    0.0089*    0.0101*     0.0787     0.0718
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.967580 (0.0609)
## Calothrix [1] - Calothrix [1/2]    : -2.103275 (0.0531)
## Calothrix [1/16] - Calothrix [1/2] : -0.135695 (0.4783)
## Calothrix [1] - Calothrix [1/4]    : -3.202407 (0.0071)*
## Calothrix [1/16] - Calothrix [1/4] : -1.234826 (0.1533)
## Calothrix [1/2] - Calothrix [1/4]  : -1.099131 (0.1610)
## Calothrix [1] - Calothrix [1/8]    : -3.215976 (0.0103)*
## Calothrix [1/16] - Calothrix [1/8] : -1.248396 (0.1650)
## Calothrix [1/2] - Calothrix [1/8]  : -1.112700 (0.1708)
## Calothrix [1/4] - Calothrix [1/8]  : -0.013569 (0.4946)
## Calothrix [1] - Growth Control     : -4.980014 (0.0001)*
## Calothrix [1/16] - Growth Control  : -3.012433 (0.0089)*
## Calothrix [1/2] - Growth Control   : -2.876738 (0.0101)*
## Calothrix [1/4] - Growth Control   : -1.777607 (0.0787)
## Calothrix [1/8] - Growth Control   : -1.764037 (0.0718)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 19 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 8.8443, df = 5, p-value = 0.12
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.475265
##          |     0.1595
##          |
## Calothri |  -1.498316  -0.023051
##          |     0.2142     0.4909
##          |
## Calothri |  -2.028489  -0.553224  -0.530173
##          |     0.1249     0.3647     0.3457
##          |
## Calothri |  -2.189847  -0.714581  -0.691530  -0.161357
##          |     0.1316     0.3596     0.3366     0.4675
##          |
## Growth C |  -2.973581  -1.498316  -1.475265  -0.945091  -0.783734
##          |     0.0392     0.2677     0.1860     0.3290     0.3653
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.475265 (0.1595)
## Calothrix [1] - Calothrix [1/2]    : -1.498316 (0.2142)
## Calothrix [1/16] - Calothrix [1/2] : -0.023051 (0.4909)
## Calothrix [1] - Calothrix [1/4]    : -2.028489 (0.1249)
## Calothrix [1/16] - Calothrix [1/4] : -0.553224 (0.3647)
## Calothrix [1/2] - Calothrix [1/4]  : -0.530173 (0.3457)
## Calothrix [1] - Calothrix [1/8]    : -2.189847 (0.1316)
## Calothrix [1/16] - Calothrix [1/8] : -0.714581 (0.3596)
## Calothrix [1/2] - Calothrix [1/8]  : -0.691530 (0.3366)
## Calothrix [1/4] - Calothrix [1/8]  : -0.161357 (0.4675)
## Calothrix [1] - Growth Control     : -2.973581 (0.0392)
## Calothrix [1/16] - Growth Control  : -1.498316 (0.2677)
## Calothrix [1/2] - Growth Control   : -1.475265 (0.1860)
## Calothrix [1/4] - Growth Control   : -0.945091 (0.3290)
## Calothrix [1/8] - Growth Control   : -0.783734 (0.3653)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 11.935, df = 5, p-value = 0.04
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.018316
##          |     0.2365
##          |
## Calothri |  -1.382001  -0.363684
##          |     0.1645     0.3848
##          |
## Calothri |  -1.915405  -0.897088  -0.533404
##          |     0.0951     0.2561     0.3444
##          |
## Calothri |  -2.182107  -1.163790  -0.800106  -0.266702
##          |     0.0670     0.2101     0.2681     0.3956
##          |
## Growth C |  -3.612600  -2.594283  -2.230598  -1.697194  -1.430492
##          |    0.0069*     0.0511     0.0801     0.1229     0.1727
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.018316 (0.2365)
## Calothrix [1] - Calothrix [1/2]    : -1.382001 (0.1645)
## Calothrix [1/16] - Calothrix [1/2] : -0.363684 (0.3848)
## Calothrix [1] - Calothrix [1/4]    : -1.915405 (0.0951)
## Calothrix [1/16] - Calothrix [1/4] : -0.897088 (0.2561)
## Calothrix [1/2] - Calothrix [1/4]  : -0.533404 (0.3444)
## Calothrix [1] - Calothrix [1/8]    : -2.182107 (0.0670)
## Calothrix [1/16] - Calothrix [1/8] : -1.163790 (0.2101)
## Calothrix [1/2] - Calothrix [1/8]  : -0.800106 (0.2681)
## Calothrix [1/4] - Calothrix [1/8]  : -0.266702 (0.3956)
## Calothrix [1] - Growth Control     : -3.612600 (0.0069)*
## Calothrix [1/16] - Growth Control  : -2.594283 (0.0511)
## Calothrix [1/2] - Growth Control   : -2.230598 (0.0801)
## Calothrix [1/4] - Growth Control   : -1.697194 (0.1229)
## Calothrix [1/8] - Growth Control   : -1.430492 (0.1727)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 21 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 13.8342, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.630258
##          |     0.1048
##          |
## Calothri |  -1.692960  -0.062702
##          |     0.1062     0.4752
##          |
## Calothri |  -2.169498  -0.539239  -0.476537
##          |     0.0551     0.3421     0.3410
##          |
## Calothri |  -3.022248  -1.391990  -1.329287  -0.852750
##          |    0.0173*     0.1437     0.1441     0.2496
##          |
## Growth C |  -3.975323  -2.345064  -2.282362  -1.805825  -0.953074
##          |    0.0024*     0.0616     0.0534     0.0991     0.2365
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.630258 (0.1048)
## Calothrix [1] - Calothrix [1/2]    : -1.692960 (0.1062)
## Calothrix [1/16] - Calothrix [1/2] : -0.062702 (0.4752)
## Calothrix [1] - Calothrix [1/4]    : -2.169498 (0.0551)
## Calothrix [1/16] - Calothrix [1/4] : -0.539239 (0.3421)
## Calothrix [1/2] - Calothrix [1/4]  : -0.476537 (0.3410)
## Calothrix [1] - Calothrix [1/8]    : -3.022248 (0.0173)*
## Calothrix [1/16] - Calothrix [1/8] : -1.391990 (0.1437)
## Calothrix [1/2] - Calothrix [1/8]  : -1.329287 (0.1441)
## Calothrix [1/4] - Calothrix [1/8]  : -0.852750 (0.2496)
## Calothrix [1] - Growth Control     : -3.975323 (0.0024)*
## Calothrix [1/16] - Growth Control  : -2.345064 (0.0616)
## Calothrix [1/2] - Growth Control   : -2.282362 (0.0534)
## Calothrix [1/4] - Growth Control   : -1.805825 (0.0991)
## Calothrix [1/8] - Growth Control   : -0.953074 (0.2365)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 17.8315, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -2.118189
##          |     0.0441
##          |
## Calothri |  -2.091032   0.027156
##          |     0.0409     0.4892
##          |
## Calothri |  -2.308283  -0.190093  -0.217250
##          |     0.0335     0.4555     0.4784
##          |
## Calothri |  -3.937659  -1.819470  -1.846626  -1.629376
##          |    0.0014*     0.0579     0.0609     0.0763
##          |
## Growth C |  -4.779503  -2.661314  -2.688470  -2.471220  -0.841844
##          |    0.0002*    0.0217*    0.0270*     0.0275     0.2534
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -2.118189 (0.0441)
## Calothrix [1] - Calothrix [1/2]    : -2.091032 (0.0409)
## Calothrix [1/16] - Calothrix [1/2] :  0.027156 (0.4892)
## Calothrix [1] - Calothrix [1/4]    : -2.308283 (0.0335)
## Calothrix [1/16] - Calothrix [1/4] : -0.190093 (0.4555)
## Calothrix [1/2] - Calothrix [1/4]  : -0.217250 (0.4784)
## Calothrix [1] - Calothrix [1/8]    : -3.937659 (0.0014)*
## Calothrix [1/16] - Calothrix [1/8] : -1.819470 (0.0579)
## Calothrix [1/2] - Calothrix [1/8]  : -1.846626 (0.0609)
## Calothrix [1/4] - Calothrix [1/8]  : -1.629376 (0.0763)
## Calothrix [1] - Growth Control     : -4.779503 (0.0002)*
## Calothrix [1/16] - Growth Control  : -2.661314 (0.0217)*
## Calothrix [1/2] - Growth Control   : -2.688470 (0.0270)*
## Calothrix [1/4] - Growth Control   : -2.471220 (0.0275)
## Calothrix [1/8] - Growth Control   : -0.841844 (0.2534)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 23 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 12.3906, df = 5, p-value = 0.03
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.368524
##          |     0.1684
##          |
## Calothri |  -1.832845  -0.464320
##          |     0.0939     0.3722
##          |
## Calothri |  -1.686217  -0.317693   0.146627
##          |     0.1076     0.4032     0.4421
##          |
## Calothri |  -2.590421  -1.221897  -0.757576  -0.904203
##          |     0.0516     0.1914     0.2835     0.2536
##          |
## Growth C |  -3.739005  -2.370480  -1.906159  -2.052787  -1.148583
##          |    0.0048*     0.0581     0.0970     0.0889     0.1937
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.368524 (0.1684)
## Calothrix [1] - Calothrix [1/2]    : -1.832845 (0.0939)
## Calothrix [1/16] - Calothrix [1/2] : -0.464320 (0.3722)
## Calothrix [1] - Calothrix [1/4]    : -1.686217 (0.1076)
## Calothrix [1/16] - Calothrix [1/4] : -0.317693 (0.4032)
## Calothrix [1/2] - Calothrix [1/4]  :  0.146627 (0.4421)
## Calothrix [1] - Calothrix [1/8]    : -2.590421 (0.0516)
## Calothrix [1/16] - Calothrix [1/8] : -1.221897 (0.1914)
## Calothrix [1/2] - Calothrix [1/8]  : -0.757576 (0.2835)
## Calothrix [1/4] - Calothrix [1/8]  : -0.904203 (0.2536)
## Calothrix [1] - Growth Control     : -3.739005 (0.0048)*
## Calothrix [1/16] - Growth Control  : -2.370480 (0.0581)
## Calothrix [1/2] - Growth Control   : -1.906159 (0.0970)
## Calothrix [1/4] - Growth Control   : -2.052787 (0.0889)
## Calothrix [1/8] - Growth Control   : -1.148583 (0.1937)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 25 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 11.4945, df = 5, p-value = 0.04
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.082879
##          |     0.2145
##          |
## Calothri |  -1.780735  -0.697855
##          |     0.1251     0.2825
##          |
## Calothri |  -1.564159  -0.481279   0.216575
##          |     0.1186     0.3392     0.4149
##          |
## Calothri |  -2.671103  -1.588223  -0.890367  -1.106943
##          |     0.0423     0.1296     0.2585     0.2297
##          |
## Growth C |  -3.368959  -2.286079  -1.588223  -1.804799  -0.697855
##          |    0.0136*     0.0706     0.1512     0.1490     0.3061
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.082879 (0.2145)
## Calothrix [1] - Calothrix [1/2]    : -1.780735 (0.1251)
## Calothrix [1/16] - Calothrix [1/2] : -0.697855 (0.2825)
## Calothrix [1] - Calothrix [1/4]    : -1.564159 (0.1186)
## Calothrix [1/16] - Calothrix [1/4] : -0.481279 (0.3392)
## Calothrix [1/2] - Calothrix [1/4]  :  0.216575 (0.4149)
## Calothrix [1] - Calothrix [1/8]    : -2.671103 (0.0423)
## Calothrix [1/16] - Calothrix [1/8] : -1.588223 (0.1296)
## Calothrix [1/2] - Calothrix [1/8]  : -0.890367 (0.2585)
## Calothrix [1/4] - Calothrix [1/8]  : -1.106943 (0.2297)
## Calothrix [1] - Growth Control     : -3.368959 (0.0136)*
## Calothrix [1/16] - Growth Control  : -2.286079 (0.0706)
## Calothrix [1/2] - Growth Control   : -1.588223 (0.1512)
## Calothrix [1/4] - Growth Control   : -1.804799 (0.1490)
## Calothrix [1/8] - Growth Control   : -0.697855 (0.3061)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 13.7885, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -0.851999
##          |     0.2499
##          |
## Calothri |  -2.117468  -1.265469
##          |     0.0618     0.1604
##          |
## Calothri |  -1.754116  -0.902116   0.363352
##          |     0.0824     0.2543     0.3849
##          |
## Calothri |  -2.205174  -1.353175  -0.087705  -0.451058
##          |     0.0636     0.1537     0.4653     0.3777
##          |
## Growth C |  -3.971819  -3.119820  -1.854351  -2.217703  -1.766645
##          |    0.0025*    0.0133*     0.0899     0.0824     0.0919
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -0.851999 (0.2499)
## Calothrix [1] - Calothrix [1/2]    : -2.117468 (0.0618)
## Calothrix [1/16] - Calothrix [1/2] : -1.265469 (0.1604)
## Calothrix [1] - Calothrix [1/4]    : -1.754116 (0.0824)
## Calothrix [1/16] - Calothrix [1/4] : -0.902116 (0.2543)
## Calothrix [1/2] - Calothrix [1/4]  :  0.363352 (0.3849)
## Calothrix [1] - Calothrix [1/8]    : -2.205174 (0.0636)
## Calothrix [1/16] - Calothrix [1/8] : -1.353175 (0.1537)
## Calothrix [1/2] - Calothrix [1/8]  : -0.087705 (0.4653)
## Calothrix [1/4] - Calothrix [1/8]  : -0.451058 (0.3777)
## Calothrix [1] - Growth Control     : -3.971819 (0.0025)*
## Calothrix [1/16] - Growth Control  : -3.119820 (0.0133)*
## Calothrix [1/2] - Growth Control   : -1.854351 (0.0899)
## Calothrix [1/4] - Growth Control   : -2.217703 (0.0824)
## Calothrix [1/8] - Growth Control   : -1.766645 (0.0919)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 41 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 16.4836, df = 5, p-value = 0.01
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.531153
##          |     0.1441
##          |
## Calothri |  -0.607181  -2.138335
##          |     0.3422     0.0492
##          |
## Calothri |   0.263992  -1.267161   0.871173
##          |     0.4250     0.1999     0.2655
##          |
## Calothri |   0.395988  -1.135165   1.003169   0.131996
##          |     0.4006     0.2198     0.2419     0.4479
##          |
## Growth C |  -3.088707  -4.619861  -2.481525  -3.352699  -3.484695
##          |    0.0072*    0.0004*     0.0268    0.0047*    0.0049*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.531153 (0.1441)
## Calothrix [1] - Calothrix [1/2]    : -0.607181 (0.3422)
## Calothrix [1/16] - Calothrix [1/2] : -2.138335 (0.0492)
## Calothrix [1] - Calothrix [1/4]    :  0.263992 (0.4250)
## Calothrix [1/16] - Calothrix [1/4] : -1.267161 (0.1999)
## Calothrix [1/2] - Calothrix [1/4]  :  0.871173 (0.2655)
## Calothrix [1] - Calothrix [1/8]    :  0.395988 (0.4006)
## Calothrix [1/16] - Calothrix [1/8] : -1.135165 (0.2198)
## Calothrix [1/2] - Calothrix [1/8]  :  1.003169 (0.2419)
## Calothrix [1/4] - Calothrix [1/8]  :  0.131996 (0.4479)
## Calothrix [1] - Growth Control     : -3.088707 (0.0072)*
## Calothrix [1/16] - Growth Control  : -4.619861 (0.0004)*
## Calothrix [1/2] - Growth Control   : -2.481525 (0.0268)
## Calothrix [1/4] - Growth Control   : -3.352699 (0.0047)*
## Calothrix [1/8] - Growth Control   : -3.484695 (0.0049)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2

Prebiotic Activity

FOS

For Limosilactobacillus reuteri too, stored in the dataframe PreBio3_fos, we will perform looped Conover Post-Hoc Tests.

PreBio3_fos <- droplevels(subset(PreBio3, PreBio3$bacteria != "fos"))

tiempo_levels <- unique(PreBio3_fos$tiempo)
# Initialize a list to store the test results
conover_results <- list()

# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
  # Subset data for the current level of tiempo
  data_subset <- PreBio3_fos[PreBio3_fos$tiempo == level, ]
  
  # Print the current level of tiempo
  cat("Conover test for tiempo:", level, "\n")
  
  # Perform Conover test
  conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
  
  # Store the result in the list
  conover_results[[as.character(level)]] <- conover_result
}
## Conover test for tiempo: 0 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 21.1201, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   3.534068
##          |    0.0029*
##          |
## Calothri |  -1.495746  -5.029815
##          |     0.0896    0.0001*
##          |
## Calothri |   1.671717  -1.862351   3.167464
##          |     0.0704     0.0663    0.0047*
##          |
## Calothri |   1.803694  -1.730373   3.299441   0.131977
##          |     0.0664     0.0691    0.0041*     0.4479
##          |
## Growth C |  -1.202463  -4.736532   0.293283  -2.874180  -3.006158
##          |     0.1368    0.0001*     0.4130    0.0072*    0.0060*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  3.534068 (0.0029)*
## Calothrix [1] - Calothrix [1/2]    : -1.495746 (0.0896)
## Calothrix [1/16] - Calothrix [1/2] : -5.029815 (0.0001)*
## Calothrix [1] - Calothrix [1/4]    :  1.671717 (0.0704)
## Calothrix [1/16] - Calothrix [1/4] : -1.862351 (0.0663)
## Calothrix [1/2] - Calothrix [1/4]  :  3.167464 (0.0047)*
## Calothrix [1] - Calothrix [1/8]    :  1.803694 (0.0664)
## Calothrix [1/16] - Calothrix [1/8] : -1.730373 (0.0691)
## Calothrix [1/2] - Calothrix [1/8]  :  3.299441 (0.0041)*
## Calothrix [1/4] - Calothrix [1/8]  :  0.131977 (0.4479)
## Calothrix [1] - Growth Control     : -1.202463 (0.1368)
## Calothrix [1/16] - Growth Control  : -4.736532 (0.0001)*
## Calothrix [1/2] - Growth Control   :  0.293283 (0.4130)
## Calothrix [1/4] - Growth Control   : -2.874180 (0.0072)*
## Calothrix [1/8] - Growth Control   : -3.006158 (0.0060)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.1566, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   3.384109
##          |    0.0043*
##          |
## Calothri |  -1.006842  -4.390952
##          |     0.2005    0.0007*
##          |
## Calothri |   1.929781  -1.454328   2.936624
##          |     0.0513     0.1159    0.0086*
##          |
## Calothri |   2.265395  -1.118713   3.272238   0.335614
##          |     0.0278     0.1845    0.0044*     0.3696
##          |
## Growth C |  -0.615292  -3.999402   0.391549  -2.545074  -2.880688
##          |     0.3128    0.0011*     0.3738    0.0165*    0.0083*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  3.384109 (0.0043)*
## Calothrix [1] - Calothrix [1/2]    : -1.006842 (0.2005)
## Calothrix [1/16] - Calothrix [1/2] : -4.390952 (0.0007)*
## Calothrix [1] - Calothrix [1/4]    :  1.929781 (0.0513)
## Calothrix [1/16] - Calothrix [1/4] : -1.454328 (0.1159)
## Calothrix [1/2] - Calothrix [1/4]  :  2.936624 (0.0086)*
## Calothrix [1] - Calothrix [1/8]    :  2.265395 (0.0278)
## Calothrix [1/16] - Calothrix [1/8] : -1.118713 (0.1845)
## Calothrix [1/2] - Calothrix [1/8]  :  3.272238 (0.0044)*
## Calothrix [1/4] - Calothrix [1/8]  :  0.335614 (0.3696)
## Calothrix [1] - Growth Control     : -0.615292 (0.3128)
## Calothrix [1/16] - Growth Control  : -3.999402 (0.0011)*
## Calothrix [1/2] - Growth Control   :  0.391549 (0.3738)
## Calothrix [1/4] - Growth Control   : -2.545074 (0.0165)*
## Calothrix [1/8] - Growth Control   : -2.880688 (0.0083)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 2 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 17.1253, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   3.343951
##          |    0.0048*
##          |
## Calothri |  -0.775796  -4.119748
##          |     0.2768    0.0016*
##          |
## Calothri |   1.498090  -1.845861   2.273887
##          |     0.1071     0.0610     0.0363
##          |
## Calothri |   2.033122  -1.310829   2.808919   0.535032
##          |     0.0530     0.1351    0.0150*     0.3438
##          |
## Growth C |  -0.401274  -3.745225   0.374522  -1.899364  -2.434396
##          |     0.3700    0.0024*     0.3551     0.0615     0.0300
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  3.343951 (0.0048)*
## Calothrix [1] - Calothrix [1/2]    : -0.775796 (0.2768)
## Calothrix [1/16] - Calothrix [1/2] : -4.119748 (0.0016)*
## Calothrix [1] - Calothrix [1/4]    :  1.498090 (0.1071)
## Calothrix [1/16] - Calothrix [1/4] : -1.845861 (0.0610)
## Calothrix [1/2] - Calothrix [1/4]  :  2.273887 (0.0363)
## Calothrix [1] - Calothrix [1/8]    :  2.033122 (0.0530)
## Calothrix [1/16] - Calothrix [1/8] : -1.310829 (0.1351)
## Calothrix [1/2] - Calothrix [1/8]  :  2.808919 (0.0150)*
## Calothrix [1/4] - Calothrix [1/8]  :  0.535032 (0.3438)
## Calothrix [1] - Growth Control     : -0.401274 (0.3700)
## Calothrix [1/16] - Growth Control  : -3.745225 (0.0024)*
## Calothrix [1/2] - Growth Control   :  0.374522 (0.3551)
## Calothrix [1/4] - Growth Control   : -1.899364 (0.0615)
## Calothrix [1/8] - Growth Control   : -2.434396 (0.0300)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 14.2321, df = 5, p-value = 0.01
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   3.057011
##          |    0.0105*
##          |
## Calothri |  -0.429497  -3.486508
##          |     0.4188    0.0098*
##          |
## Calothri |   1.414815  -1.642196   1.844312
##          |     0.1130     0.1024     0.0917
##          |
## Calothri |   1.566402  -1.490608   1.995900   0.151587
##          |     0.1050     0.1086     0.1004     0.4716
##          |
## Growth C |  -0.378968  -3.435979   0.050529  -1.793783  -1.945370
##          |     0.4078    0.0056*     0.4800     0.0871     0.0894
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  3.057011 (0.0105)*
## Calothrix [1] - Calothrix [1/2]    : -0.429497 (0.4188)
## Calothrix [1/16] - Calothrix [1/2] : -3.486508 (0.0098)*
## Calothrix [1] - Calothrix [1/4]    :  1.414815 (0.1130)
## Calothrix [1/16] - Calothrix [1/4] : -1.642196 (0.1024)
## Calothrix [1/2] - Calothrix [1/4]  :  1.844312 (0.0917)
## Calothrix [1] - Calothrix [1/8]    :  1.566402 (0.1050)
## Calothrix [1/16] - Calothrix [1/8] : -1.490608 (0.1086)
## Calothrix [1/2] - Calothrix [1/8]  :  1.995900 (0.1004)
## Calothrix [1/4] - Calothrix [1/8]  :  0.151587 (0.4716)
## Calothrix [1] - Growth Control     : -0.378968 (0.4078)
## Calothrix [1/16] - Growth Control  : -3.435979 (0.0056)*
## Calothrix [1/2] - Growth Control   :  0.050529 (0.4800)
## Calothrix [1/4] - Growth Control   : -1.793783 (0.0871)
## Calothrix [1/8] - Growth Control   : -1.945370 (0.0894)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 4 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 7.0295, df = 5, p-value = 0.22
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   2.096994
##          |     0.1616
##          |
## Calothri |  -0.112138  -2.209133
##          |     0.4557     0.2521
##          |
## Calothri |   1.076532  -1.020462   1.188670
##          |     0.3095     0.2947     0.3029
##          |
## Calothri |   1.289595  -0.807399   1.401734   0.213063
##          |     0.3081     0.3186     0.3179     0.4460
##          |
## Growth C |   0.291560  -1.805434   0.403699  -0.784971  -0.998034
##          |     0.4456     0.1984     0.4305     0.2984     0.2708
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  2.096994 (0.1616)
## Calothrix [1] - Calothrix [1/2]    : -0.112138 (0.4557)
## Calothrix [1/16] - Calothrix [1/2] : -2.209133 (0.2521)
## Calothrix [1] - Calothrix [1/4]    :  1.076532 (0.3095)
## Calothrix [1/16] - Calothrix [1/4] : -1.020462 (0.2947)
## Calothrix [1/2] - Calothrix [1/4]  :  1.188670 (0.3029)
## Calothrix [1] - Calothrix [1/8]    :  1.289595 (0.3081)
## Calothrix [1/16] - Calothrix [1/8] : -0.807399 (0.3186)
## Calothrix [1/2] - Calothrix [1/8]  :  1.401734 (0.3179)
## Calothrix [1/4] - Calothrix [1/8]  :  0.213063 (0.4460)
## Calothrix [1] - Growth Control     :  0.291560 (0.4456)
## Calothrix [1/16] - Growth Control  : -1.805434 (0.1984)
## Calothrix [1/2] - Growth Control   :  0.403699 (0.4305)
## Calothrix [1/4] - Growth Control   : -0.784971 (0.2984)
## Calothrix [1/8] - Growth Control   : -0.998034 (0.2708)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 8.8481, df = 5, p-value = 0.12
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   2.409169
##          |     0.0796
##          |
## Calothri |   0.668573  -1.740596
##          |     0.3464     0.1354
##          |
## Calothri |   2.051828  -0.357340   1.383255
##          |     0.1188     0.3873     0.1876
##          |
## Calothri |   2.432223   0.023054   1.763650   0.380395
##          |     0.1508     0.4909     0.1618     0.4072
##          |
## Growth C |   1.636852  -0.772317   0.968278  -0.414976  -0.795371
##          |     0.1380     0.3337     0.3182     0.4254     0.3597
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  2.409169 (0.0796)
## Calothrix [1] - Calothrix [1/2]    :  0.668573 (0.3464)
## Calothrix [1/16] - Calothrix [1/2] : -1.740596 (0.1354)
## Calothrix [1] - Calothrix [1/4]    :  2.051828 (0.1188)
## Calothrix [1/16] - Calothrix [1/4] : -0.357340 (0.3873)
## Calothrix [1/2] - Calothrix [1/4]  :  1.383255 (0.1876)
## Calothrix [1] - Calothrix [1/8]    :  2.432223 (0.1508)
## Calothrix [1/16] - Calothrix [1/8] :  0.023054 (0.4909)
## Calothrix [1/2] - Calothrix [1/8]  :  1.763650 (0.1618)
## Calothrix [1/4] - Calothrix [1/8]  :  0.380395 (0.4072)
## Calothrix [1] - Growth Control     :  1.636852 (0.1380)
## Calothrix [1/16] - Growth Control  : -0.772317 (0.3337)
## Calothrix [1/2] - Growth Control   :  0.968278 (0.3182)
## Calothrix [1/4] - Growth Control   : -0.414976 (0.4254)
## Calothrix [1/8] - Growth Control   : -0.795371 (0.3597)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 17 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.5213, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.128216
##          |     0.2222
##          |
## Calothri |   1.283345   0.155129
##          |     0.1946     0.4388
##          |
## Calothri |   0.507697  -0.620518  -0.775648
##          |     0.3547     0.3368     0.3021
##          |
## Calothri |  -0.380772  -1.508989  -1.664118  -0.888470
##          |     0.3780     0.1500     0.1310     0.2851
##          |
## Growth C |   4.653892   3.525675   3.370546   4.146194   5.034665
##          |    0.0002*    0.0022*    0.0027*    0.0005*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.128216 (0.2222)
## Calothrix [1] - Calothrix [1/2]    :  1.283345 (0.1946)
## Calothrix [1/16] - Calothrix [1/2] :  0.155129 (0.4388)
## Calothrix [1] - Calothrix [1/4]    :  0.507697 (0.3547)
## Calothrix [1/16] - Calothrix [1/4] : -0.620518 (0.3368)
## Calothrix [1/2] - Calothrix [1/4]  : -0.775648 (0.3021)
## Calothrix [1] - Calothrix [1/8]    : -0.380772 (0.3780)
## Calothrix [1/16] - Calothrix [1/8] : -1.508989 (0.1500)
## Calothrix [1/2] - Calothrix [1/8]  : -1.664118 (0.1310)
## Calothrix [1/4] - Calothrix [1/8]  : -0.888470 (0.2851)
## Calothrix [1] - Growth Control     :  4.653892 (0.0002)*
## Calothrix [1/16] - Growth Control  :  3.525675 (0.0022)*
## Calothrix [1/2] - Growth Control   :  3.370546 (0.0027)*
## Calothrix [1/4] - Growth Control   :  4.146194 (0.0005)*
## Calothrix [1/8] - Growth Control   :  5.034665 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 20.0356, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.913540
##          |     0.2503
##          |
## Calothri |   1.084829   0.171288
##          |     0.2139     0.4325
##          |
## Calothri |  -0.171288  -1.084829  -1.256117
##          |     0.4634     0.2377     0.2036
##          |
## Calothri |  -0.827895  -1.741436  -1.912724  -0.656607
##          |     0.2582     0.0966     0.0797     0.2975
##          |
## Growth C |   4.396412   3.482872   3.311583   4.567701   5.224308
##          |    0.0002*    0.0025*    0.0032*    0.0002*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.913540 (0.2503)
## Calothrix [1] - Calothrix [1/2]    :  1.084829 (0.2139)
## Calothrix [1/16] - Calothrix [1/2] :  0.171288 (0.4325)
## Calothrix [1] - Calothrix [1/4]    : -0.171288 (0.4634)
## Calothrix [1/16] - Calothrix [1/4] : -1.084829 (0.2377)
## Calothrix [1/2] - Calothrix [1/4]  : -1.256117 (0.2036)
## Calothrix [1] - Calothrix [1/8]    : -0.827895 (0.2582)
## Calothrix [1/16] - Calothrix [1/8] : -1.741436 (0.0966)
## Calothrix [1/2] - Calothrix [1/8]  : -1.912724 (0.0797)
## Calothrix [1/4] - Calothrix [1/8]  : -0.656607 (0.2975)
## Calothrix [1] - Growth Control     :  4.396412 (0.0002)*
## Calothrix [1/16] - Growth Control  :  3.482872 (0.0025)*
## Calothrix [1/2] - Growth Control   :  3.311583 (0.0032)*
## Calothrix [1/4] - Growth Control   :  4.567701 (0.0002)*
## Calothrix [1/8] - Growth Control   :  5.224308 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 18.5985, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.745665
##          |     0.3455
##          |
## Calothri |   1.159924   0.414258
##          |     0.2718     0.4257
##          |
## Calothri |   0.359024  -0.386641  -0.800899
##          |     0.3866     0.4046     0.3570
##          |
## Calothri |  -0.193320  -0.938986  -1.353244  -0.552344
##          |     0.4239     0.3319     0.2305     0.3983
##          |
## Growth C |   4.473992   3.728327   3.314068   4.114968   4.667313
##          |    0.0003*    0.0012*    0.0032*    0.0005*    0.0003*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.745665 (0.3455)
## Calothrix [1] - Calothrix [1/2]    :  1.159924 (0.2718)
## Calothrix [1/16] - Calothrix [1/2] :  0.414258 (0.4257)
## Calothrix [1] - Calothrix [1/4]    :  0.359024 (0.3866)
## Calothrix [1/16] - Calothrix [1/4] : -0.386641 (0.4046)
## Calothrix [1/2] - Calothrix [1/4]  : -0.800899 (0.3570)
## Calothrix [1] - Calothrix [1/8]    : -0.193320 (0.4239)
## Calothrix [1/16] - Calothrix [1/8] : -0.938986 (0.3319)
## Calothrix [1/2] - Calothrix [1/8]  : -1.353244 (0.2305)
## Calothrix [1/4] - Calothrix [1/8]  : -0.552344 (0.3983)
## Calothrix [1] - Growth Control     :  4.473992 (0.0003)*
## Calothrix [1/16] - Growth Control  :  3.728327 (0.0012)*
## Calothrix [1/2] - Growth Control   :  3.314068 (0.0032)*
## Calothrix [1/4] - Growth Control   :  4.114968 (0.0005)*
## Calothrix [1/8] - Growth Control   :  4.667313 (0.0003)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 21.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 21.3284, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.561979
##          |     0.1191
##          |
## Calothri |   2.328233   0.766254
##          |     0.0320     0.2588
##          |
## Calothri |   1.149381  -0.412598  -1.178852
##          |     0.1759     0.3655     0.1846
##          |
## Calothri |   0.117885  -1.444094  -2.210348  -1.031495
##          |     0.4534     0.1311     0.0359     0.1932
##          |
## Growth C |   5.363778   3.801799   3.035545   4.214397   5.245893
##          |    0.0000*    0.0010*    0.0067*    0.0004*    0.0000*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.561979 (0.1191)
## Calothrix [1] - Calothrix [1/2]    :  2.328233 (0.0320)
## Calothrix [1/16] - Calothrix [1/2] :  0.766254 (0.2588)
## Calothrix [1] - Calothrix [1/4]    :  1.149381 (0.1759)
## Calothrix [1/16] - Calothrix [1/4] : -0.412598 (0.3655)
## Calothrix [1/2] - Calothrix [1/4]  : -1.178852 (0.1846)
## Calothrix [1] - Calothrix [1/8]    :  0.117885 (0.4534)
## Calothrix [1/16] - Calothrix [1/8] : -1.444094 (0.1311)
## Calothrix [1/2] - Calothrix [1/8]  : -2.210348 (0.0359)
## Calothrix [1/4] - Calothrix [1/8]  : -1.031495 (0.1932)
## Calothrix [1] - Growth Control     :  5.363778 (0.0000)*
## Calothrix [1/16] - Growth Control  :  3.801799 (0.0010)*
## Calothrix [1/2] - Growth Control   :  3.035545 (0.0067)*
## Calothrix [1/4] - Growth Control   :  4.214397 (0.0004)*
## Calothrix [1/8] - Growth Control   :  5.245893 (0.0000)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 23 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 20.2672, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   1.492771
##          |     0.1352
##          |
## Calothri |   1.923378   0.430607
##          |     0.0780     0.3861
##          |
## Calothri |   0.459314  -1.033457  -1.464064
##          |     0.4055     0.2102     0.1265
##          |
## Calothri |   0.287071  -1.205700  -1.636307  -0.172242
##          |     0.4156     0.1768     0.1184     0.4321
##          |
## Growth C |   5.052458   3.559686   3.129079   4.593143   4.765386
##          |    0.0001*    0.0020*    0.0052*    0.0001*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  1.492771 (0.1352)
## Calothrix [1] - Calothrix [1/2]    :  1.923378 (0.0780)
## Calothrix [1/16] - Calothrix [1/2] :  0.430607 (0.3861)
## Calothrix [1] - Calothrix [1/4]    :  0.459314 (0.4055)
## Calothrix [1/16] - Calothrix [1/4] : -1.033457 (0.2102)
## Calothrix [1/2] - Calothrix [1/4]  : -1.464064 (0.1265)
## Calothrix [1] - Calothrix [1/8]    :  0.287071 (0.4156)
## Calothrix [1/16] - Calothrix [1/8] : -1.205700 (0.1768)
## Calothrix [1/2] - Calothrix [1/8]  : -1.636307 (0.1184)
## Calothrix [1/4] - Calothrix [1/8]  : -0.172242 (0.4321)
## Calothrix [1] - Growth Control     :  5.052458 (0.0001)*
## Calothrix [1/16] - Growth Control  :  3.559686 (0.0020)*
## Calothrix [1/2] - Growth Control   :  3.129079 (0.0052)*
## Calothrix [1/4] - Growth Control   :  4.593143 (0.0001)*
## Calothrix [1/8] - Growth Control   :  4.765386 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 20.4533, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.173020
##          |     0.4626
##          |
## Calothri |   1.730209   1.557188
##          |     0.0864     0.1068
##          |
## Calothri |  -0.057673  -0.230694  -1.787883
##          |     0.4772     0.4724     0.0881
##          |
## Calothri |  -0.663246  -0.836267  -2.393456  -0.605573
##          |     0.3487     0.3064     0.0275     0.3429
##          |
## Growth C |   4.440870   4.267849   2.710661   4.498544   5.104117
##          |    0.0002*    0.0003*    0.0153*    0.0003*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.173020 (0.4626)
## Calothrix [1] - Calothrix [1/2]    :  1.730209 (0.0864)
## Calothrix [1/16] - Calothrix [1/2] :  1.557188 (0.1068)
## Calothrix [1] - Calothrix [1/4]    : -0.057673 (0.4772)
## Calothrix [1/16] - Calothrix [1/4] : -0.230694 (0.4724)
## Calothrix [1/2] - Calothrix [1/4]  : -1.787883 (0.0881)
## Calothrix [1] - Calothrix [1/8]    : -0.663246 (0.3487)
## Calothrix [1/16] - Calothrix [1/8] : -0.836267 (0.3064)
## Calothrix [1/2] - Calothrix [1/8]  : -2.393456 (0.0275)
## Calothrix [1/4] - Calothrix [1/8]  : -0.605573 (0.3429)
## Calothrix [1] - Growth Control     :  4.440870 (0.0002)*
## Calothrix [1/16] - Growth Control  :  4.267849 (0.0003)*
## Calothrix [1/2] - Growth Control   :  2.710661 (0.0153)*
## Calothrix [1/4] - Growth Control   :  4.498544 (0.0003)*
## Calothrix [1/8] - Growth Control   :  5.104117 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 19.0161, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.111513
##          |     0.5261
##          |
## Calothri |   1.087255   0.975742
##          |     0.2368     0.2098
##          |
## Calothri |   0.055756  -0.055756  -1.031498
##          |     0.4779     0.5121     0.2108
##          |
## Calothri |  -1.031498  -1.143012  -2.118754  -1.087255
##          |     0.2319     0.2792     0.0513     0.2664
##          |
## Growth C |   4.042359   3.930846   2.955104   3.986603   5.073858
##          |    0.0010*    0.0007*    0.0082*    0.0008*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.111513 (0.5261)
## Calothrix [1] - Calothrix [1/2]    :  1.087255 (0.2368)
## Calothrix [1/16] - Calothrix [1/2] :  0.975742 (0.2098)
## Calothrix [1] - Calothrix [1/4]    :  0.055756 (0.4779)
## Calothrix [1/16] - Calothrix [1/4] : -0.055756 (0.5121)
## Calothrix [1/2] - Calothrix [1/4]  : -1.031498 (0.2108)
## Calothrix [1] - Calothrix [1/8]    : -1.031498 (0.2319)
## Calothrix [1/16] - Calothrix [1/8] : -1.143012 (0.2792)
## Calothrix [1/2] - Calothrix [1/8]  : -2.118754 (0.0513)
## Calothrix [1/4] - Calothrix [1/8]  : -1.087255 (0.2664)
## Calothrix [1] - Growth Control     :  4.042359 (0.0010)*
## Calothrix [1/16] - Growth Control  :  3.930846 (0.0007)*
## Calothrix [1/2] - Growth Control   :  2.955104 (0.0082)*
## Calothrix [1/4] - Growth Control   :  3.986603 (0.0008)*
## Calothrix [1/8] - Growth Control   :  5.073858 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 27.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 20.6944, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.334345
##          |     0.1299
##          |
## Calothri |   0.551142   1.885488
##          |     0.3375     0.0562
##          |
## Calothri |  -1.711443  -0.377097  -2.262586
##          |     0.0717     0.3795     0.0319
##          |
## Calothri |  -2.059533  -0.725187  -2.610676  -0.348090
##          |     0.0438     0.2956    0.0196*     0.3649
##          |
## Growth C |   3.074796   4.409142   2.523653   4.786240   5.134330
##          |    0.0075*    0.0002*    0.0202*    0.0001*    0.0001*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.334345 (0.1299)
## Calothrix [1] - Calothrix [1/2]    :  0.551142 (0.3375)
## Calothrix [1/16] - Calothrix [1/2] :  1.885488 (0.0562)
## Calothrix [1] - Calothrix [1/4]    : -1.711443 (0.0717)
## Calothrix [1/16] - Calothrix [1/4] : -0.377097 (0.3795)
## Calothrix [1/2] - Calothrix [1/4]  : -2.262586 (0.0319)
## Calothrix [1] - Calothrix [1/8]    : -2.059533 (0.0438)
## Calothrix [1/16] - Calothrix [1/8] : -0.725187 (0.2956)
## Calothrix [1/2] - Calothrix [1/8]  : -2.610676 (0.0196)*
## Calothrix [1/4] - Calothrix [1/8]  : -0.348090 (0.3649)
## Calothrix [1] - Growth Control     :  3.074796 (0.0075)*
## Calothrix [1/16] - Growth Control  :  4.409142 (0.0002)*
## Calothrix [1/2] - Growth Control   :  2.523653 (0.0202)*
## Calothrix [1/4] - Growth Control   :  4.786240 (0.0001)*
## Calothrix [1/8] - Growth Control   :  5.134330 (0.0001)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 43.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 10.5074, df = 5, p-value = 0.06
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.443947
##          |     0.1476
##          |
## Calothri |  -0.023671   1.420275
##          |     0.4906     0.1368
##          |
## Calothri |  -1.562303  -0.118356  -1.538632
##          |     0.1587     0.4856     0.1421
##          |
## Calothri |  -1.822687  -0.378740  -1.799016  -0.260383
##          |     0.1437     0.4419     0.1206     0.4593
##          |
## Growth C |   0.946850   2.390797   0.970521   2.509153   2.769537
##          |     0.2387     0.0554     0.2537     0.0628     0.0661
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.443947 (0.1476)
## Calothrix [1] - Calothrix [1/2]    : -0.023671 (0.4906)
## Calothrix [1/16] - Calothrix [1/2] :  1.420275 (0.1368)
## Calothrix [1] - Calothrix [1/4]    : -1.562303 (0.1587)
## Calothrix [1/16] - Calothrix [1/4] : -0.118356 (0.4856)
## Calothrix [1/2] - Calothrix [1/4]  : -1.538632 (0.1421)
## Calothrix [1] - Calothrix [1/8]    : -1.822687 (0.1437)
## Calothrix [1/16] - Calothrix [1/8] : -0.378740 (0.4419)
## Calothrix [1/2] - Calothrix [1/8]  : -1.799016 (0.1206)
## Calothrix [1/4] - Calothrix [1/8]  : -0.260383 (0.4593)
## Calothrix [1] - Growth Control     :  0.946850 (0.2387)
## Calothrix [1/16] - Growth Control  :  2.390797 (0.0554)
## Calothrix [1/2] - Growth Control   :  0.970521 (0.2537)
## Calothrix [1/4] - Growth Control   :  2.509153 (0.0628)
## Calothrix [1/8] - Growth Control   :  2.769537 (0.0661)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2

LP

For Lactiplantibacillus \nplantarum too, stored in the dataframe PreBio3_lp, we will perform looped Conover Post-Hoc Tests.

PreBio3_lp <- droplevels(subset(PreBio3, PreBio3$bacteria != "lp"))

tiempo_levels <- unique(PreBio3_lp$tiempo)
# Initialize a list to store the test results
conover_results <- list()

# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
  # Subset data for the current level of tiempo
  data_subset <- PreBio3_lp[PreBio3_lp$tiempo == level, ]
  
  # Print the current level of tiempo
  cat("Conover test for tiempo:", level, "\n")
  
  # Perform Conover test
  conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
  
  # Store the result in the list
  conover_results[[as.character(level)]] <- conover_result
}
## Conover test for tiempo: 0 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 7.5775, df = 5, p-value = 0.18
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -2.272577
##          |     0.1092
##          |
## Calothri |  -0.192208   2.080369
##          |     0.4896     0.1117
##          |
## Calothri |   0.180901   2.453478   0.373109
##          |     0.4594     0.1434     0.4849
##          |
## Calothri |  -0.791444   1.481132  -0.599236  -0.972346
##          |     0.4649     0.2209     0.5182     0.4217
##          |
## Growth C |  -0.248739   2.023837  -0.056531  -0.429641   0.542705
##          |     0.5031     0.0946     0.4776     0.5025     0.4922
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -2.272577 (0.1092)
## Calothrix [1] - Calothrix [1/2]    : -0.192208 (0.4896)
## Calothrix [1/16] - Calothrix [1/2] :  2.080369 (0.1117)
## Calothrix [1] - Calothrix [1/4]    :  0.180901 (0.4594)
## Calothrix [1/16] - Calothrix [1/4] :  2.453478 (0.1434)
## Calothrix [1/2] - Calothrix [1/4]  :  0.373109 (0.4849)
## Calothrix [1] - Calothrix [1/8]    : -0.791444 (0.4649)
## Calothrix [1/16] - Calothrix [1/8] :  1.481132 (0.2209)
## Calothrix [1/2] - Calothrix [1/8]  : -0.599236 (0.5182)
## Calothrix [1/4] - Calothrix [1/8]  : -0.972346 (0.4217)
## Calothrix [1] - Growth Control     : -0.248739 (0.5031)
## Calothrix [1/16] - Growth Control  :  2.023837 (0.0946)
## Calothrix [1/2] - Growth Control   : -0.056531 (0.4776)
## Calothrix [1/4] - Growth Control   : -0.429641 (0.5025)
## Calothrix [1/8] - Growth Control   :  0.542705 (0.4922)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 8.9383, df = 5, p-value = 0.11
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -2.516445
##          |     0.0617
##          |
## Calothri |  -0.542536   1.973909
##          |     0.4028     0.1052
##          |
## Calothri |  -0.219323   2.297122   0.323213
##          |     0.4434     0.0688     0.4318
##          |
## Calothri |  -1.223592   1.292852  -0.681056  -1.004269
##          |     0.2454     0.2554     0.3751     0.3018
##          |
## Growth C |   0.138519   2.654965   0.681056   0.357843   1.362112
##          |     0.4453     0.0880     0.4168     0.4516     0.2724
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -2.516445 (0.0617)
## Calothrix [1] - Calothrix [1/2]    : -0.542536 (0.4028)
## Calothrix [1/16] - Calothrix [1/2] :  1.973909 (0.1052)
## Calothrix [1] - Calothrix [1/4]    : -0.219323 (0.4434)
## Calothrix [1/16] - Calothrix [1/4] :  2.297122 (0.0688)
## Calothrix [1/2] - Calothrix [1/4]  :  0.323213 (0.4318)
## Calothrix [1] - Calothrix [1/8]    : -1.223592 (0.2454)
## Calothrix [1/16] - Calothrix [1/8] :  1.292852 (0.2554)
## Calothrix [1/2] - Calothrix [1/8]  : -0.681056 (0.3751)
## Calothrix [1/4] - Calothrix [1/8]  : -1.004269 (0.3018)
## Calothrix [1] - Growth Control     :  0.138519 (0.4453)
## Calothrix [1/16] - Growth Control  :  2.654965 (0.0880)
## Calothrix [1/2] - Growth Control   :  0.681056 (0.4168)
## Calothrix [1/4] - Growth Control   :  0.357843 (0.4516)
## Calothrix [1/8] - Growth Control   :  1.362112 (0.2724)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 2 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 11.7703, df = 5, p-value = 0.04
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -2.937653
##          |    0.0215*
##          |
## Calothri |  -0.568188   2.369465
##          |     0.3584     0.0437
##          |
## Calothri |  -0.314316   2.623337   0.253871
##          |     0.4356     0.0317     0.4005
##          |
## Calothri |  -1.595762   1.341891  -1.027574  -1.281445
##          |     0.1491     0.2015     0.2592     0.1952
##          |
## Growth C |   0.265960   3.203614   0.834148   0.580277   1.861723
##          |     0.4242    0.0213*     0.3073     0.3855     0.1062
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -2.937653 (0.0215)*
## Calothrix [1] - Calothrix [1/2]    : -0.568188 (0.3584)
## Calothrix [1/16] - Calothrix [1/2] :  2.369465 (0.0437)
## Calothrix [1] - Calothrix [1/4]    : -0.314316 (0.4356)
## Calothrix [1/16] - Calothrix [1/4] :  2.623337 (0.0317)
## Calothrix [1/2] - Calothrix [1/4]  :  0.253871 (0.4005)
## Calothrix [1] - Calothrix [1/8]    : -1.595762 (0.1491)
## Calothrix [1/16] - Calothrix [1/8] :  1.341891 (0.2015)
## Calothrix [1/2] - Calothrix [1/8]  : -1.027574 (0.2592)
## Calothrix [1/4] - Calothrix [1/8]  : -1.281445 (0.1952)
## Calothrix [1] - Growth Control     :  0.265960 (0.4242)
## Calothrix [1/16] - Growth Control  :  3.203614 (0.0213)*
## Calothrix [1/2] - Growth Control   :  0.834148 (0.3073)
## Calothrix [1/4] - Growth Control   :  0.580277 (0.3855)
## Calothrix [1/8] - Growth Control   :  1.861723 (0.1062)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 8.2109, df = 5, p-value = 0.14
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.986054
##          |     0.1025
##          |
## Calothri |   0.182625   2.168680
##          |     0.4586     0.0920
##          |
## Calothri |   0.410907   2.396962   0.228282
##          |     0.4661     0.0819     0.4735
##          |
## Calothri |  -0.616361   1.369692  -0.798987  -1.027269
##          |     0.4513     0.2689     0.4027     0.3334
##          |
## Growth C |   0.570705   2.556760   0.388079   0.159797   1.187067
##          |     0.4288     0.1119     0.4377     0.4370     0.3037
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.986054 (0.1025)
## Calothrix [1] - Calothrix [1/2]    :  0.182625 (0.4586)
## Calothrix [1/16] - Calothrix [1/2] :  2.168680 (0.0920)
## Calothrix [1] - Calothrix [1/4]    :  0.410907 (0.4661)
## Calothrix [1/16] - Calothrix [1/4] :  2.396962 (0.0819)
## Calothrix [1/2] - Calothrix [1/4]  :  0.228282 (0.4735)
## Calothrix [1] - Calothrix [1/8]    : -0.616361 (0.4513)
## Calothrix [1/16] - Calothrix [1/8] :  1.369692 (0.2689)
## Calothrix [1/2] - Calothrix [1/8]  : -0.798987 (0.4027)
## Calothrix [1/4] - Calothrix [1/8]  : -1.027269 (0.3334)
## Calothrix [1] - Growth Control     :  0.570705 (0.4288)
## Calothrix [1/16] - Growth Control  :  2.556760 (0.1119)
## Calothrix [1/2] - Growth Control   :  0.388079 (0.4377)
## Calothrix [1/4] - Growth Control   :  0.159797 (0.4370)
## Calothrix [1/8] - Growth Control   :  1.187067 (0.3037)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 4 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 12.7351, df = 5, p-value = 0.03
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -2.540656
##          |     0.0294
##          |
## Calothri |   0.037920   2.578576
##          |     0.4850     0.0357
##          |
## Calothri |   0.353922   2.894578   0.316002
##          |     0.4947    0.0244*     0.4712
##          |
## Calothri |  -0.226691   2.214291  -0.263124  -0.566729
##          |     0.4403     0.0501     0.4581     0.4309
##          |
## Growth C |   1.314568   3.855224   1.276648   0.960646   1.489688
##          |     0.2113    0.0036*     0.1970     0.2861     0.1816
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -2.540656 (0.0294)
## Calothrix [1] - Calothrix [1/2]    :  0.037920 (0.4850)
## Calothrix [1/16] - Calothrix [1/2] :  2.578576 (0.0357)
## Calothrix [1] - Calothrix [1/4]    :  0.353922 (0.4947)
## Calothrix [1/16] - Calothrix [1/4] :  2.894578 (0.0244)*
## Calothrix [1/2] - Calothrix [1/4]  :  0.316002 (0.4712)
## Calothrix [1] - Calothrix [1/8]    : -0.226691 (0.4403)
## Calothrix [1/16] - Calothrix [1/8] :  2.214291 (0.0501)
## Calothrix [1/2] - Calothrix [1/8]  : -0.263124 (0.4581)
## Calothrix [1/4] - Calothrix [1/8]  : -0.566729 (0.4309)
## Calothrix [1] - Growth Control     :  1.314568 (0.2113)
## Calothrix [1/16] - Growth Control  :  3.855224 (0.0036)*
## Calothrix [1/2] - Growth Control   :  1.276648 (0.1970)
## Calothrix [1/4] - Growth Control   :  0.960646 (0.2861)
## Calothrix [1/8] - Growth Control   :  1.489688 (0.1816)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 13.1253, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -2.178695
##          |     0.0900
##          |
## Calothri |  -0.049515   2.129179
##          |     0.5147     0.0753
##          |
## Calothri |   0.742737   2.921432   0.792252
##          |     0.2890    0.0224*     0.2955
##          |
## Calothri |  -0.074273   2.104421  -0.024757  -0.817010
##          |     0.5430     0.0636     0.4902     0.3145
##          |
## Growth C |   1.782569   3.961264   1.832084   1.039831   1.856842
##          |     0.0779    0.0025*     0.0806     0.2545     0.0894
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -2.178695 (0.0900)
## Calothrix [1] - Calothrix [1/2]    : -0.049515 (0.5147)
## Calothrix [1/16] - Calothrix [1/2] :  2.129179 (0.0753)
## Calothrix [1] - Calothrix [1/4]    :  0.742737 (0.2890)
## Calothrix [1/16] - Calothrix [1/4] :  2.921432 (0.0224)*
## Calothrix [1/2] - Calothrix [1/4]  :  0.792252 (0.2955)
## Calothrix [1] - Calothrix [1/8]    : -0.074273 (0.5430)
## Calothrix [1/16] - Calothrix [1/8] :  2.104421 (0.0636)
## Calothrix [1/2] - Calothrix [1/8]  : -0.024757 (0.4902)
## Calothrix [1/4] - Calothrix [1/8]  : -0.817010 (0.3145)
## Calothrix [1] - Growth Control     :  1.782569 (0.0779)
## Calothrix [1/16] - Growth Control  :  3.961264 (0.0025)*
## Calothrix [1/2] - Growth Control   :  1.832084 (0.0806)
## Calothrix [1/4] - Growth Control   :  1.039831 (0.2545)
## Calothrix [1/8] - Growth Control   :  1.856842 (0.0894)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 17 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 13.2981, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -0.347689
##          |     0.5476
##          |
## Calothri |  -0.099339   0.248349
##          |     0.5316     0.5033
##          |
## Calothri |   0.521534   0.869224   0.620874
##          |     0.5043     0.4881     0.5771
##          |
## Calothri |  -0.024834   0.322854   0.074504  -0.546369
##          |     0.4902     0.5105     0.5041     0.5514
##          |
## Growth C |   3.154042   3.501732   3.253382   2.632508   3.178877
##          |    0.0061*    0.0094*    0.0093*    0.0186*    0.0076*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -0.347689 (0.5476)
## Calothrix [1] - Calothrix [1/2]    : -0.099339 (0.5316)
## Calothrix [1/16] - Calothrix [1/2] :  0.248349 (0.5033)
## Calothrix [1] - Calothrix [1/4]    :  0.521534 (0.5043)
## Calothrix [1/16] - Calothrix [1/4] :  0.869224 (0.4881)
## Calothrix [1/2] - Calothrix [1/4]  :  0.620874 (0.5771)
## Calothrix [1] - Calothrix [1/8]    : -0.024834 (0.4902)
## Calothrix [1/16] - Calothrix [1/8] :  0.322854 (0.5105)
## Calothrix [1/2] - Calothrix [1/8]  :  0.074504 (0.5041)
## Calothrix [1/4] - Calothrix [1/8]  : -0.546369 (0.5514)
## Calothrix [1] - Growth Control     :  3.154042 (0.0061)*
## Calothrix [1/16] - Growth Control  :  3.501732 (0.0094)*
## Calothrix [1/2] - Growth Control   :  3.253382 (0.0093)*
## Calothrix [1/4] - Growth Control   :  2.632508 (0.0186)*
## Calothrix [1/8] - Growth Control   :  3.178877 (0.0076)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 14.0954, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.234814
##          |     0.2410
##          |
## Calothri |  -0.378004   0.856810
##          |     0.4083     0.2979
##          |
## Calothri |   0.100801   1.335615   0.478805
##          |     0.4601     0.2376     0.3969
##          |
## Calothri |  -1.008011   0.226802  -0.630007  -1.108813
##          |     0.2668     0.4403     0.3632     0.2577
##          |
## Growth C |   2.595630   3.830445   2.973635   2.494829   3.603642
##          |     0.0255    0.0037*    0.0131*     0.0260    0.0035*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.234814 (0.2410)
## Calothrix [1] - Calothrix [1/2]    : -0.378004 (0.4083)
## Calothrix [1/16] - Calothrix [1/2] :  0.856810 (0.2979)
## Calothrix [1] - Calothrix [1/4]    :  0.100801 (0.4601)
## Calothrix [1/16] - Calothrix [1/4] :  1.335615 (0.2376)
## Calothrix [1/2] - Calothrix [1/4]  :  0.478805 (0.3969)
## Calothrix [1] - Calothrix [1/8]    : -1.008011 (0.2668)
## Calothrix [1/16] - Calothrix [1/8] :  0.226802 (0.4403)
## Calothrix [1/2] - Calothrix [1/8]  : -0.630007 (0.3632)
## Calothrix [1/4] - Calothrix [1/8]  : -1.108813 (0.2577)
## Calothrix [1] - Growth Control     :  2.595630 (0.0255)
## Calothrix [1/16] - Growth Control  :  3.830445 (0.0037)*
## Calothrix [1/2] - Growth Control   :  2.973635 (0.0131)*
## Calothrix [1/4] - Growth Control   :  2.494829 (0.0260)
## Calothrix [1/8] - Growth Control   :  3.603642 (0.0035)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 12.8026, df = 5, p-value = 0.03
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -0.516932
##          |     0.4148
##          |
## Calothri |   0.123079   0.640011
##          |     0.4514     0.3947
##          |
## Calothri |   0.910785   1.427717   0.787705
##          |     0.3454     0.2025     0.3634
##          |
## Calothri |  -0.172310   0.344621  -0.295389  -1.083095
##          |     0.4629     0.4577     0.4439     0.3064
##          |
## Growth C |   2.978513   3.495445   2.855434   2.067728   3.150823
##          |    0.0129*    0.0096*    0.0133*     0.0689    0.0123*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -0.516932 (0.4148)
## Calothrix [1] - Calothrix [1/2]    :  0.123079 (0.4514)
## Calothrix [1/16] - Calothrix [1/2] :  0.640011 (0.3947)
## Calothrix [1] - Calothrix [1/4]    :  0.910785 (0.3454)
## Calothrix [1/16] - Calothrix [1/4] :  1.427717 (0.2025)
## Calothrix [1/2] - Calothrix [1/4]  :  0.787705 (0.3634)
## Calothrix [1] - Calothrix [1/8]    : -0.172310 (0.4629)
## Calothrix [1/16] - Calothrix [1/8] :  0.344621 (0.4577)
## Calothrix [1/2] - Calothrix [1/8]  : -0.295389 (0.4439)
## Calothrix [1/4] - Calothrix [1/8]  : -1.083095 (0.3064)
## Calothrix [1] - Growth Control     :  2.978513 (0.0129)*
## Calothrix [1/16] - Growth Control  :  3.495445 (0.0096)*
## Calothrix [1/2] - Growth Control   :  2.855434 (0.0133)*
## Calothrix [1/4] - Growth Control   :  2.067728 (0.0689)
## Calothrix [1/8] - Growth Control   :  3.150823 (0.0123)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 21.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 17.7119, df = 5, p-value = 0
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -2.329434
##          |     0.0320
##          |
## Calothri |  -0.433383   1.896051
##          |     0.3850     0.0619
##          |
## Calothri |  -0.162518   2.166915   0.270864
##          |     0.4359     0.0396     0.4222
##          |
## Calothri |  -0.866766   1.462668  -0.433383  -0.704247
##          |     0.2939     0.1269     0.4171     0.3312
##          |
## Growth C |   2.735731   5.065165   3.169114   2.898250   3.602497
##          |    0.0144*    0.0001*    0.0078*    0.0119*    0.0035*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -2.329434 (0.0320)
## Calothrix [1] - Calothrix [1/2]    : -0.433383 (0.3850)
## Calothrix [1/16] - Calothrix [1/2] :  1.896051 (0.0619)
## Calothrix [1] - Calothrix [1/4]    : -0.162518 (0.4359)
## Calothrix [1/16] - Calothrix [1/4] :  2.166915 (0.0396)
## Calothrix [1/2] - Calothrix [1/4]  :  0.270864 (0.4222)
## Calothrix [1] - Calothrix [1/8]    : -0.866766 (0.2939)
## Calothrix [1/16] - Calothrix [1/8] :  1.462668 (0.1269)
## Calothrix [1/2] - Calothrix [1/8]  : -0.433383 (0.4171)
## Calothrix [1/4] - Calothrix [1/8]  : -0.704247 (0.3312)
## Calothrix [1] - Growth Control     :  2.735731 (0.0144)*
## Calothrix [1/16] - Growth Control  :  5.065165 (0.0001)*
## Calothrix [1/2] - Growth Control   :  3.169114 (0.0078)*
## Calothrix [1/4] - Growth Control   :  2.898250 (0.0119)*
## Calothrix [1/8] - Growth Control   :  3.602497 (0.0035)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 23 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 15.2667, df = 5, p-value = 0.01
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.133767
##          |     0.2479
##          |
## Calothri |   0.515349   1.649116
##          |     0.3809     0.1348
##          |
## Calothri |   0.489581   1.623349  -0.025767
##          |     0.3620     0.1213     0.4898
##          |
## Calothri |  -0.206139   0.927628  -0.721488  -0.695721
##          |     0.4488     0.2998     0.3565     0.3348
##          |
## Growth C |   3.195164   4.328932   2.679815   2.705582   3.401303
##          |    0.0073*    0.0009*    0.0166*    0.0194*    0.0062*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.133767 (0.2479)
## Calothrix [1] - Calothrix [1/2]    :  0.515349 (0.3809)
## Calothrix [1/16] - Calothrix [1/2] :  1.649116 (0.1348)
## Calothrix [1] - Calothrix [1/4]    :  0.489581 (0.3620)
## Calothrix [1/16] - Calothrix [1/4] :  1.623349 (0.1213)
## Calothrix [1/2] - Calothrix [1/4]  : -0.025767 (0.4898)
## Calothrix [1] - Calothrix [1/8]    : -0.206139 (0.4488)
## Calothrix [1/16] - Calothrix [1/8] :  0.927628 (0.2998)
## Calothrix [1/2] - Calothrix [1/8]  : -0.721488 (0.3565)
## Calothrix [1/4] - Calothrix [1/8]  : -0.695721 (0.3348)
## Calothrix [1] - Growth Control     :  3.195164 (0.0073)*
## Calothrix [1/16] - Growth Control  :  4.328932 (0.0009)*
## Calothrix [1/2] - Growth Control   :  2.679815 (0.0166)*
## Calothrix [1/4] - Growth Control   :  2.705582 (0.0194)*
## Calothrix [1/8] - Growth Control   :  3.401303 (0.0062)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 11.4773, df = 5, p-value = 0.04
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |   0.168466
##          |     0.4645
##          |
## Calothri |  -0.192533  -0.361000
##          |     0.5785     0.5402
##          |
## Calothri |  -0.024066  -0.192533   0.168466
##          |     0.4905     0.5303     0.5003
##          |
## Calothri |  -0.770134  -0.938601  -0.577601  -0.746067
##          |     0.4781     0.4427     0.4726     0.4317
##          |
## Growth C |   2.623271   2.454804   2.815804   2.647338   3.393405
##          |    0.0238*     0.0286    0.0294*    0.0299*    0.0127*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   :  0.168466 (0.4645)
## Calothrix [1] - Calothrix [1/2]    : -0.192533 (0.5785)
## Calothrix [1/16] - Calothrix [1/2] : -0.361000 (0.5402)
## Calothrix [1] - Calothrix [1/4]    : -0.024066 (0.4905)
## Calothrix [1/16] - Calothrix [1/4] : -0.192533 (0.5303)
## Calothrix [1/2] - Calothrix [1/4]  :  0.168466 (0.5003)
## Calothrix [1] - Calothrix [1/8]    : -0.770134 (0.4781)
## Calothrix [1/16] - Calothrix [1/8] : -0.938601 (0.4427)
## Calothrix [1/2] - Calothrix [1/8]  : -0.577601 (0.4726)
## Calothrix [1/4] - Calothrix [1/8]  : -0.746067 (0.4317)
## Calothrix [1] - Growth Control     :  2.623271 (0.0238)*
## Calothrix [1/16] - Growth Control  :  2.454804 (0.0286)
## Calothrix [1/2] - Growth Control   :  2.815804 (0.0294)*
## Calothrix [1/4] - Growth Control   :  2.647338 (0.0299)*
## Calothrix [1/8] - Growth Control   :  3.393405 (0.0127)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 13.2088, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.239754
##          |     0.2091
##          |
## Calothri |   0.297540   1.537295
##          |     0.4113     0.1425
##          |
## Calothri |   0.396721   1.636475   0.099180
##          |     0.4003     0.1381     0.4608
##          |
## Calothri |  -0.520696   0.719057  -0.818237  -0.917418
##          |     0.3786     0.3251     0.3140     0.3042
##          |
## Growth C |   2.628278   3.868032   2.330737   2.231557   3.148975
##          |     0.0313    0.0033*     0.0478     0.0479    0.0123*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.239754 (0.2091)
## Calothrix [1] - Calothrix [1/2]    :  0.297540 (0.4113)
## Calothrix [1/16] - Calothrix [1/2] :  1.537295 (0.1425)
## Calothrix [1] - Calothrix [1/4]    :  0.396721 (0.4003)
## Calothrix [1/16] - Calothrix [1/4] :  1.636475 (0.1381)
## Calothrix [1/2] - Calothrix [1/4]  :  0.099180 (0.4608)
## Calothrix [1] - Calothrix [1/8]    : -0.520696 (0.3786)
## Calothrix [1/16] - Calothrix [1/8] :  0.719057 (0.3251)
## Calothrix [1/2] - Calothrix [1/8]  : -0.818237 (0.3140)
## Calothrix [1/4] - Calothrix [1/8]  : -0.917418 (0.3042)
## Calothrix [1] - Growth Control     :  2.628278 (0.0313)
## Calothrix [1/16] - Growth Control  :  3.868032 (0.0033)*
## Calothrix [1/2] - Growth Control   :  2.330737 (0.0478)
## Calothrix [1/4] - Growth Control   :  2.231557 (0.0479)
## Calothrix [1/8] - Growth Control   :  3.148975 (0.0123)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 27.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 13.1936, df = 5, p-value = 0.02
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.239415
##          |     0.2093
##          |
## Calothri |   0.247883   1.487298
##          |     0.4316     0.1560
##          |
## Calothri |   0.396612   1.636028   0.148729
##          |     0.4337     0.1382     0.4413
##          |
## Calothri |  -0.247883   0.991532  -0.495766  -0.644496
##          |     0.4648     0.2734     0.4248     0.3925
##          |
## Growth C |   2.701925   3.941341   2.454042   2.305312   2.949808
##          |     0.0261    0.0027*     0.0358     0.0405    0.0208*
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.239415 (0.2093)
## Calothrix [1] - Calothrix [1/2]    :  0.247883 (0.4316)
## Calothrix [1/16] - Calothrix [1/2] :  1.487298 (0.1560)
## Calothrix [1] - Calothrix [1/4]    :  0.396612 (0.4337)
## Calothrix [1/16] - Calothrix [1/4] :  1.636028 (0.1382)
## Calothrix [1/2] - Calothrix [1/4]  :  0.148729 (0.4413)
## Calothrix [1] - Calothrix [1/8]    : -0.247883 (0.4648)
## Calothrix [1/16] - Calothrix [1/8] :  0.991532 (0.2734)
## Calothrix [1/2] - Calothrix [1/8]  : -0.495766 (0.4248)
## Calothrix [1/4] - Calothrix [1/8]  : -0.644496 (0.3925)
## Calothrix [1] - Growth Control     :  2.701925 (0.0261)
## Calothrix [1/16] - Growth Control  :  3.941341 (0.0027)*
## Calothrix [1/2] - Growth Control   :  2.454042 (0.0358)
## Calothrix [1/4] - Growth Control   :  2.305312 (0.0405)
## Calothrix [1/8] - Growth Control   :  2.949808 (0.0208)*
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 43.5 
##   Kruskal-Wallis rank sum test
## 
## data: x and group
## Kruskal-Wallis chi-squared = 7.3104, df = 5, p-value = 0.2
## 
## 
##                            Comparison of x by group                            
##                              (Benjamini-Hochberg)                              
## Col Mean-|
## Row Mean |   Calothri   Calothri   Calothri   Calothri   Calothri
## ---------+-------------------------------------------------------
## Calothri |  -1.486329
##          |     0.3647
##          |
## Calothri |  -0.563003   0.923325
##          |     0.3606     0.3017
##          |
## Calothri |  -0.045040   1.441288   0.517963
##          |     0.4822     0.2372     0.3506
##          |
## Calothri |  -1.283647   0.202681  -0.720644  -1.238607
##          |     0.2593     0.4503     0.3244     0.2395
##          |
## Growth C |   0.878285   2.364614   1.441288   0.923325   2.161933
##          |     0.2892     0.1767     0.2965     0.3394     0.1401
## 
## 
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16]   : -1.486329 (0.3647)
## Calothrix [1] - Calothrix [1/2]    : -0.563003 (0.3606)
## Calothrix [1/16] - Calothrix [1/2] :  0.923325 (0.3017)
## Calothrix [1] - Calothrix [1/4]    : -0.045040 (0.4822)
## Calothrix [1/16] - Calothrix [1/4] :  1.441288 (0.2372)
## Calothrix [1/2] - Calothrix [1/4]  :  0.517963 (0.3506)
## Calothrix [1] - Calothrix [1/8]    : -1.283647 (0.2593)
## Calothrix [1/16] - Calothrix [1/8] :  0.202681 (0.4503)
## Calothrix [1/2] - Calothrix [1/8]  : -0.720644 (0.3244)
## Calothrix [1/4] - Calothrix [1/8]  : -1.238607 (0.2395)
## Calothrix [1] - Growth Control     :  0.878285 (0.2892)
## Calothrix [1/16] - Growth Control  :  2.364614 (0.1767)
## Calothrix [1/2] - Growth Control   :  1.441288 (0.2965)
## Calothrix [1/4] - Growth Control   :  0.923325 (0.3394)
## Calothrix [1/8] - Growth Control   :  2.161933 (0.1401)
## 
## alpha = 0.05
## Reject Ho if p <= alpha/2

Complete Light Model

In this code, we are fitting a linear regression model using the lm function in R. The model has peso_biomasa as the response variable and Day, luz, nitrogeno, and glucosa as explanatory variables, as well as the interactions between luz, nitrogeno, and glucosa. The * notation in R indicates that all interactions between the mentioned variables will be included. Therefore, the model will include terms for Day, luz, nitrogeno, glucosa, and the interactions between them.

lm1 <- lm(data = CaloGrowth, peso_biomasa ~ Day_N + luz + nitrogeno * glucosa)
plot(lm1)

  • The assumption of linearity is not entirely met.
  • The assumption of homoscedastcitiy is met.
  • The assumption of normality of residuals is not met.

Transformed Light Model

Let’s attempt a square root transformation.

lm2 <- lm(data = CaloGrowth, sqrt(peso_biomasa) ~ Day_N + luz + nitrogeno * glucosa)
plot(lm2)

The residuals look better! Ok, time to separate by light (luz).

Nost_Blanca <- droplevels(subset(CaloGrowth, CaloGrowth$luz == "Blanca"))
Nost_Oscuri <- droplevels(subset(CaloGrowth, CaloGrowth$luz == "Oscuridad"))
Nost_Roja <- droplevels(subset(CaloGrowth, CaloGrowth$luz == "Roja"))

We can evaluate the model with the anova function. The result will provide us with an analysis of the variance of the model coefficients, allowing us to determine if any of the predictors significantly contribute to explaining the variability in the response variable. The obtained p-values will indicate the significance of each term in the model in relation to the response variable.

White Light

lm_Blanca <- lm(data = Nost_Blanca, peso_biomasa ~ Day_N + nitrogeno * glucosa)
anova(lm_Blanca)
## Analysis of Variance Table
## 
## Response: peso_biomasa
##                   Df  Sum Sq Mean Sq  F value    Pr(>F)    
## Day_N              1 2.20676 2.20676 136.7046 < 2.2e-16 ***
## nitrogeno          1 0.41188 0.41188  25.5151 2.763e-06 ***
## glucosa            1 1.07395 1.07395  66.5292 4.318e-12 ***
## nitrogeno:glucosa  1 0.12236 0.12236   7.5801   0.00732 ** 
## Residuals         79 1.27526 0.01614                       
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(allEffects(lm_Blanca))

What we can see from the summary function and the effects graphs is a significant interaction between glucose and nitrogen on biomass (F1,79 = 7.58, p = 0.0073). We can obtain further insight on the nature of the interaction by splitting the model for each level of glucose and each level of nitrogen.


White Light x Nitrogen by Glucose
options(digits = 6)

Nost_Blanca$glucosa_factor <- as.factor(Nost_Blanca$glucosa)

models <- by(Nost_Blanca, Nost_Blanca$glucosa_factor, function(subset) {
  lm(peso_biomasa ~ Day_N + nitrogeno, data = subset)
})

lapply(models, summary)
## $`0`
## 
## Call:
## lm(formula = peso_biomasa ~ Day_N + nitrogeno, data = subset)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -0.1343 -0.0472 -0.0209  0.0595  0.1963 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   -0.0941     0.0248   -3.80    5e-04 ***
## Day_N          0.0118     0.0015    7.89  1.3e-09 ***
## nitrogeno0.2   0.2164     0.0240    9.00  4.6e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.0779 on 39 degrees of freedom
## Multiple R-squared:  0.786,  Adjusted R-squared:  0.775 
## F-statistic: 71.6 on 2 and 39 DF,  p-value: 8.73e-14
## 
## 
## $`0.3`
## 
## Call:
## lm(formula = peso_biomasa ~ Day_N + nitrogeno, data = subset)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -0.2399 -0.0702 -0.0146  0.0928  0.3390 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   0.00652    0.04133    0.16     0.88    
## Day_N         0.02867    0.00251   11.44    5e-14 ***
## nitrogeno0.2  0.06371    0.04010    1.59     0.12    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.13 on 39 degrees of freedom
## Multiple R-squared:  0.774,  Adjusted R-squared:  0.762 
## F-statistic: 66.7 on 2 and 39 DF,  p-value: 2.59e-13
White Light x Glucose by Nitrogen
Nost_Blanca$nitrogeno_factor <- as.factor(Nost_Blanca$nitrogeno)

models <- by(Nost_Blanca, Nost_Blanca$nitrogeno_factor, function(subset) {
  lm(peso_biomasa ~ Day_N + glucosa, data = subset)
})

lapply(models, summary)
## $`0`
## 
## Call:
## lm(formula = peso_biomasa ~ Day_N + glucosa, data = subset)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -0.1942 -0.0693 -0.0246  0.0916  0.1903 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -0.10830    0.03425   -3.16    0.003 ** 
## Day_N        0.01303    0.00208    6.28  2.1e-07 ***
## glucosa0.3   0.30248    0.03322    9.10  3.4e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.108 on 39 degrees of freedom
## Multiple R-squared:  0.758,  Adjusted R-squared:  0.746 
## F-statistic: 61.1 on 2 and 39 DF,  p-value: 9.51e-13
## 
## 
## $`0.2`
## 
## Call:
## lm(formula = peso_biomasa ~ Day_N + glucosa, data = subset)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -0.1884 -0.0782 -0.0338  0.0709  0.3438 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -0.06538    0.03751   -1.74  0.08925 .  
## Day_N        0.02749    0.00227   12.08  9.3e-15 ***
## glucosa0.3   0.14981    0.03639    4.12  0.00019 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.118 on 39 degrees of freedom
## Multiple R-squared:  0.807,  Adjusted R-squared:  0.797 
## F-statistic: 81.5 on 2 and 39 DF,  p-value: 1.18e-14
  • When Glucose = 0, adding Nitrogen 0.2 increases biomass 0.216 ± 0.024 (t = 9.00, p = 4.6e-11). Biomass also increases per Day 0.012 ± 0.002 (t = 7.89, p = 1.3e-09).

  • When Glucose = 0.3, adding Nitrogen 0.2 does not have a significant effect on biomass 0.02 ± 0.045 (t = 1.59, p = 0.12). Biomass also increases per Day 0.031 ± 0.003 (t = 11.44, p = 5e-14).

  • When Nitrogen = 0, adding Glucose 0.3 increases biomass 0.302 ± 0.033 (t = 9.10, p = 3.4e-11). Biomass also increases per Day 0.013 ± 0.002 (t = 6.28, p = 2.1e-07).

  • When Nitrogen = 0.2, adding Glucose 0.3 increases biomass 0.15 ± 0.036 (t = 4.12, p = 0.00019). Biomass also increases per Day 0.027 ± 0.002 (t = 12.540, p = 2.92e-15).


Red Light

lm_Roja <- lm(data = Nost_Roja, peso_biomasa ~ Day_N + nitrogeno * glucosa)
anova(lm_Roja)
## Analysis of Variance Table
## 
## Response: peso_biomasa
##                   Df  Sum Sq Mean Sq F value   Pr(>F)    
## Day_N              1 0.29792 0.29792 153.495  < 2e-16 ***
## nitrogeno          1 0.00924 0.00924   4.761   0.0321 *  
## glucosa            1 0.07070 0.07070  36.428 4.86e-08 ***
## nitrogeno:glucosa  1 0.00002 0.00002   0.008   0.9272    
## Residuals         79 0.15333 0.00194                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(allEffects(lm_Roja))

  • Under Red Light conditions, we do not have a significant interaction between Nitrogen and Glucose on Biomass (F1,79 = 0.008, p = 0.927). We can proceed with a model that does not the interaction so we can obtain coefficients for the main effects.


Red Light No Interaction
lm_Roja2 <- lm(data = Nost_Roja, peso_biomasa ~ Day_N + nitrogeno + glucosa)
summary(lm_Roja2)
## 
## Call:
## lm(formula = peso_biomasa ~ Day_N + nitrogeno + glucosa, data = Nost_Roja)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.10571 -0.03060  0.00139  0.02541  0.10696 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  -0.017842   0.010945   -1.63    0.107    
## Day_N         0.007444   0.000597   12.47   <2e-16 ***
## nitrogeno0.2  0.020976   0.009554    2.20    0.031 *  
## glucosa0.3    0.058024   0.009554    6.07    4e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.0438 on 80 degrees of freedom
## Multiple R-squared:  0.711,  Adjusted R-squared:   0.7 
## F-statistic: 65.7 on 3 and 80 DF,  p-value: <2e-16
  • Under Red Light conditions, CaloGrowth Biomass (g/l) increases per day 0.007 ± 0.001 (t = 12.47, p < 2e-16).

  • Under Red Light conditions, CaloGrowth Biomass (g/l) is affected when Nitrogen 0.2 is added 0.021 ± 0.009 (t = 2.20, p = 0.031).

  • Under Red Light conditions, CaloGrowth Biomass (g/l) increases when Glucose 0.3 is added 0.058 ± 0.01 (t = 6.07, p = 4e-08).


No Light

lm_Oscu <- lm(data = Nost_Oscuri, peso_biomasa ~ Day_N + nitrogeno * glucosa)
anova(lm_Oscu)
## Analysis of Variance Table
## 
## Response: peso_biomasa
##                   Df Sum Sq Mean Sq F value   Pr(>F)    
## Day_N              1 0.1103 0.11027  16.959 9.33e-05 ***
## nitrogeno          1 0.0079 0.00795   1.222    0.272    
## glucosa            1 0.0090 0.00903   1.389    0.242    
## nitrogeno:glucosa  1 0.0102 0.01019   1.567    0.214    
## Residuals         79 0.5137 0.00650                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(allEffects(lm_Oscu))

  • Under No Light conditions, we do not have a significant interaction between Nitrogen and Glucose on Biomass (F1,79 = 1.567, p = 0.214). We can proceed with a model that does not the interaction so we can obtain coefficients for the main effects.


No Light No Interaction
lm_Oscu2 <- lm(data = Nost_Oscuri, peso_biomasa ~ Day_N + nitrogeno + glucosa)
summary(lm_Oscu2)
## 
## Call:
## lm(formula = peso_biomasa ~ Day_N + nitrogeno + glucosa, data = Nost_Oscuri)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.15322 -0.06518 -0.00802  0.06304  0.18382 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   0.05552    0.02023    2.74   0.0075 ** 
## Day_N         0.00453    0.00110    4.10  9.7e-05 ***
## nitrogeno0.2  0.01945    0.01766    1.10   0.2739    
## glucosa0.3    0.02074    0.01766    1.17   0.2437    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.0809 on 80 degrees of freedom
## Multiple R-squared:  0.195,  Adjusted R-squared:  0.165 
## F-statistic: 6.48 on 3 and 80 DF,  p-value: 0.000557
  • Under No Light conditions, CaloGrowth Biomass (g/l) increases per day 0.005 ± 0.001 (t = 4.104, p = 9.7e-05).

  • Under No Light conditions, CaloGrowth Biomass (g/l) is not affected when Nitrogen 0.2 is added 0.019 ± 0.018 (t = 1.102, p = 0.274).

  • Under No Light conditions, CaloGrowth Biomass (g/l) is not affected when Glucose 0.3 is added 0.021 ± 0.018 (t = 1.174, p = 0.244).


Package Report

Below you will find the specifications on the software and R packages used to create this report.

## Analyses were conducted using the R Statistical language (version 4.4.1; R Core
## Team, 2024) on macOS Sonoma 14.1.2, using the packages conover.test (version
## 1.1.6; Dinno A, 2024), effects (version 4.2.2; Fox J, Weisberg S, 2019),
## carData (version 3.0.5; Fox J et al., 2022), Rmisc (version 1.5.1; Hope RM,
## 2022), report (version 0.5.8; Makowski D et al., 2023), lattice (version
## 0.22.6; Sarkar D, 2008), png (version 0.1.8; Urbanek S, 2022), reshape2
## (version 1.4.4; Wickham H, 2007), plyr (version 1.8.9; Wickham H, 2011),
## ggplot2 (version 3.5.1; Wickham H, 2016), readxl (version 1.4.3; Wickham H,
## Bryan J, 2023), dplyr (version 1.1.4; Wickham H et al., 2023) and kableExtra
## (version 1.4.0; Zhu H, 2024).
## 
## References
## ----------
##   - Dinno A (2024). _conover.test: Conover-Iman Test of Multiple Comparisons
## Using Rank Sums_. R package version 1.1.6,
## <https://CRAN.R-project.org/package=conover.test>.
##   - Fox J, Weisberg S (2019). _An R Companion to Applied Regression_, 3rd
## edition. Sage, Thousand Oaks CA.
## <https://socialsciences.mcmaster.ca/jfox/Books/Companion/index.html>. Fox J,
## Weisberg S (2018). "Visualizing Fit and Lack of Fit in Complex Regression
## Models with Predictor Effect Plots and Partial Residuals." _Journal of
## Statistical Software_, *87*(9), 1-27. doi:10.18637/jss.v087.i09
## <https://doi.org/10.18637/jss.v087.i09>. Fox J (2003). "Effect Displays in R
## for Generalised Linear Models." _Journal of Statistical Software_, *8*(15),
## 1-27. doi:10.18637/jss.v008.i15 <https://doi.org/10.18637/jss.v008.i15>. Fox J,
## Hong J (2009). "Effect Displays in R for Multinomial and Proportional-Odds
## Logit Models: Extensions to the effects Package." _Journal of Statistical
## Software_, *32*(1), 1-24. doi:10.18637/jss.v032.i01
## <https://doi.org/10.18637/jss.v032.i01>.
##   - Fox J, Weisberg S, Price B (2022). _carData: Companion to Applied Regression
## Data Sets_. R package version 3.0-5,
## <https://CRAN.R-project.org/package=carData>.
##   - Hope RM (2022). _Rmisc: Ryan Miscellaneous_. R package version 1.5.1,
## <https://CRAN.R-project.org/package=Rmisc>.
##   - Makowski D, Lüdecke D, Patil I, Thériault R, Ben-Shachar M, Wiernik B (2023).
## "Automated Results Reporting as a Practical Tool to Improve Reproducibility and
## Methodological Best Practices Adoption." _CRAN_.
## <https://easystats.github.io/report/>.
##   - R Core Team (2024). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##   - Sarkar D (2008). _Lattice: Multivariate Data Visualization with R_. Springer,
## New York. ISBN 978-0-387-75968-5, <http://lmdvr.r-forge.r-project.org>.
##   - Urbanek S (2022). _png: Read and write PNG images_. R package version 0.1-8,
## <https://CRAN.R-project.org/package=png>.
##   - Wickham H (2007). "Reshaping Data with the reshape Package." _Journal of
## Statistical Software_, *21*(12), 1-20. <http://www.jstatsoft.org/v21/i12/>.
##   - Wickham H (2011). "The Split-Apply-Combine Strategy for Data Analysis."
## _Journal of Statistical Software_, *40*(1), 1-29.
## <https://www.jstatsoft.org/v40/i01/>.
##   - Wickham H (2016). _ggplot2: Elegant Graphics for Data Analysis_.
## Springer-Verlag New York. ISBN 978-3-319-24277-4,
## <https://ggplot2.tidyverse.org>.
##   - Wickham H, Bryan J (2023). _readxl: Read Excel Files_. R package version
## 1.4.3, <https://CRAN.R-project.org/package=readxl>.
##   - Wickham H, François R, Henry L, Müller K, Vaughan D (2023). _dplyr: A Grammar
## of Data Manipulation_. R package version 1.1.4,
## <https://CRAN.R-project.org/package=dplyr>.
##   - Zhu H (2024). _kableExtra: Construct Complex Table with 'kable' and Pipe
## Syntax_. R package version 1.4.0,
## <https://CRAN.R-project.org/package=kableExtra>.